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Finding the Fourth Proportional to 7,392.84, 11,031.09 and 7,142.28

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Solution

The fourth proportional to 7,392.84, 11,031.09 and 7,142.28 is: 10,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.84 : 11,031.09 = 7,142.28 : x
  2. Step 2: Convert to fraction form
    7,392.84/11,031.09 = 7,142.28/x
  3. Step 3: Cross multiply
    7,392.84x = 11,031.09 × 7,142.28
  4. Step 4: Simplify right side
    7,392.84x = 78,787,133.49
  5. Step 5: Solve for x
    x = 78,787,133.49/7,392.84
  6. Step 6: Final answer
    x = 10,657.22

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.