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Finding the Fourth Proportional to 28,509.38, 42,769.21 and 9,784.59

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Solution

The fourth proportional to 28,509.38, 42,769.21 and 9,784.59 is: 14,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.38 : 42,769.21 = 9,784.59 : x
  2. Step 2: Convert to fraction form
    28,509.38/42,769.21 = 9,784.59/x
  3. Step 3: Cross multiply
    28,509.38x = 42,769.21 × 9,784.59
  4. Step 4: Simplify right side
    28,509.38x = 418,479,184.47
  5. Step 5: Solve for x
    x = 418,479,184.47/28,509.38
  6. Step 6: Final answer
    x = 14,678.65

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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.