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Finding the Fourth Proportional to 11,384.64, 15,711.12 and 6,669.12

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Solution

The fourth proportional to 11,384.64, 15,711.12 and 6,669.12 is: 9,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.64 : 15,711.12 = 6,669.12 : x
  2. Step 2: Convert to fraction form
    11,384.64/15,711.12 = 6,669.12/x
  3. Step 3: Cross multiply
    11,384.64x = 15,711.12 × 6,669.12
  4. Step 4: Simplify right side
    11,384.64x = 104,779,344.61
  5. Step 5: Solve for x
    x = 104,779,344.61/11,384.64
  6. Step 6: Final answer
    x = 9,203.57

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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.