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Finding the Fourth Proportional to 7,446, 10,275.28 and 4,088.79

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Solution

The fourth proportional to 7,446, 10,275.28 and 4,088.79 is: 5,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446 : 10,275.28 = 4,088.79 : x
  2. Step 2: Convert to fraction form
    7,446/10,275.28 = 4,088.79/x
  3. Step 3: Cross multiply
    7,446x = 10,275.28 × 4,088.79
  4. Step 4: Simplify right side
    7,446x = 42,013,462.11
  5. Step 5: Solve for x
    x = 42,013,462.11/7,446
  6. Step 6: Final answer
    x = 5,642.42

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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.