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Finding the Fourth Proportional to 10,866.24, 15,002.88 and 7,334.40

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Solution

The fourth proportional to 10,866.24, 15,002.88 and 7,334.40 is: 10,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.24 : 15,002.88 = 7,334.40 : x
  2. Step 2: Convert to fraction form
    10,866.24/15,002.88 = 7,334.40/x
  3. Step 3: Cross multiply
    10,866.24x = 15,002.88 × 7,334.40
  4. Step 4: Simplify right side
    10,866.24x = 110,037,123.07
  5. Step 5: Solve for x
    x = 110,037,123.07/10,866.24
  6. Step 6: Final answer
    x = 10,126.51

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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.