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Finding the Fourth Proportional to 9,288, 13,934.16 and 6,686.28

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Solution

The fourth proportional to 9,288, 13,934.16 and 6,686.28 is: 10,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288 : 13,934.16 = 6,686.28 : x
  2. Step 2: Convert to fraction form
    9,288/13,934.16 = 6,686.28/x
  3. Step 3: Cross multiply
    9,288x = 13,934.16 × 6,686.28
  4. Step 4: Simplify right side
    9,288x = 93,167,695.32
  5. Step 5: Solve for x
    x = 93,167,695.32/9,288
  6. Step 6: Final answer
    x = 10,030.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.