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Finding the Fourth Proportional to 7,241.32, 9,988.28 and 5,746.88

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Solution

The fourth proportional to 7,241.32, 9,988.28 and 5,746.88 is: 7,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.32 : 9,988.28 = 5,746.88 : x
  2. Step 2: Convert to fraction form
    7,241.32/9,988.28 = 5,746.88/x
  3. Step 3: Cross multiply
    7,241.32x = 9,988.28 × 5,746.88
  4. Step 4: Simplify right side
    7,241.32x = 57,401,446.57
  5. Step 5: Solve for x
    x = 57,401,446.57/7,241.32
  6. Step 6: Final answer
    x = 7,926.93

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.