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Finding the Fourth Proportional to 28,029, 42,050.16 and 9,561

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Solution

The fourth proportional to 28,029, 42,050.16 and 9,561 is: 14,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,029 : 42,050.16 = 9,561 : x
  2. Step 2: Convert to fraction form
    28,029/42,050.16 = 9,561/x
  3. Step 3: Cross multiply
    28,029x = 42,050.16 × 9,561
  4. Step 4: Simplify right side
    28,029x = 402,041,579.76
  5. Step 5: Solve for x
    x = 402,041,579.76/28,029
  6. Step 6: Final answer
    x = 14,343.77

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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.