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Finding the Fourth Proportional to 28,509.34, 42,759.93 and 9,789.02

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Solution

The fourth proportional to 28,509.34, 42,759.93 and 9,789.02 is: 14,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.34 : 42,759.93 = 9,789.02 : x
  2. Step 2: Convert to fraction form
    28,509.34/42,759.93 = 9,789.02/x
  3. Step 3: Cross multiply
    28,509.34x = 42,759.93 × 9,789.02
  4. Step 4: Simplify right side
    28,509.34x = 418,577,809.97
  5. Step 5: Solve for x
    x = 418,577,809.97/28,509.34
  6. Step 6: Final answer
    x = 14,682.13

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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.