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Finding the Fourth Proportional to 11,428.92, 15,767.28 and 7,448.64

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Solution

The fourth proportional to 11,428.92, 15,767.28 and 7,448.64 is: 10,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.92 : 15,767.28 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    11,428.92/15,767.28 = 7,448.64/x
  3. Step 3: Cross multiply
    11,428.92x = 15,767.28 × 7,448.64
  4. Step 4: Simplify right side
    11,428.92x = 117,444,792.50
  5. Step 5: Solve for x
    x = 117,444,792.50/11,428.92
  6. Step 6: Final answer
    x = 10,276.11

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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.