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Finding the Fourth Proportional to 11,397.84, 15,728.94 and 6,429.84

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Solution

The fourth proportional to 11,397.84, 15,728.94 and 6,429.84 is: 8,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.84 : 15,728.94 = 6,429.84 : x
  2. Step 2: Convert to fraction form
    11,397.84/15,728.94 = 6,429.84/x
  3. Step 3: Cross multiply
    11,397.84x = 15,728.94 × 6,429.84
  4. Step 4: Simplify right side
    11,397.84x = 101,134,567.57
  5. Step 5: Solve for x
    x = 101,134,567.57/11,397.84
  6. Step 6: Final answer
    x = 8,873.13

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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.