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Finding the Fourth Proportional to 28,252.17, 42,397.65 and 9,784.17

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Solution

The fourth proportional to 28,252.17, 42,397.65 and 9,784.17 is: 14,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,252.17 : 42,397.65 = 9,784.17 : x
  2. Step 2: Convert to fraction form
    28,252.17/42,397.65 = 9,784.17/x
  3. Step 3: Cross multiply
    28,252.17x = 42,397.65 × 9,784.17
  4. Step 4: Simplify right side
    28,252.17x = 414,825,815.20
  5. Step 5: Solve for x
    x = 414,825,815.20/28,252.17
  6. Step 6: Final answer
    x = 14,682.97

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1.5x scale

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.