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Finding the Fourth Proportional to 11,598.50, 15,990.98 and 9,471.78

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Solution

The fourth proportional to 11,598.50, 15,990.98 and 9,471.78 is: 13,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.50 : 15,990.98 = 9,471.78 : x
  2. Step 2: Convert to fraction form
    11,598.50/15,990.98 = 9,471.78/x
  3. Step 3: Cross multiply
    11,598.50x = 15,990.98 × 9,471.78
  4. Step 4: Simplify right side
    11,598.50x = 151,463,044.54
  5. Step 5: Solve for x
    x = 151,463,044.54/11,598.50
  6. Step 6: Final answer
    x = 13,058.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.