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Finding the Fourth Proportional to 10,384.76, 14,333.02 and 7,239.14

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Solution

The fourth proportional to 10,384.76, 14,333.02 and 7,239.14 is: 9,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.76 : 14,333.02 = 7,239.14 : x
  2. Step 2: Convert to fraction form
    10,384.76/14,333.02 = 7,239.14/x
  3. Step 3: Cross multiply
    10,384.76x = 14,333.02 × 7,239.14
  4. Step 4: Simplify right side
    10,384.76x = 103,758,738.40
  5. Step 5: Solve for x
    x = 103,758,738.40/10,384.76
  6. Step 6: Final answer
    x = 9,991.44

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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.