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Finding the Fourth Proportional to 12,374.17, 18,557.51 and 10,400.40

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Solution

The fourth proportional to 12,374.17, 18,557.51 and 10,400.40 is: 15,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.17 : 18,557.51 = 10,400.40 : x
  2. Step 2: Convert to fraction form
    12,374.17/18,557.51 = 10,400.40/x
  3. Step 3: Cross multiply
    12,374.17x = 18,557.51 × 10,400.40
  4. Step 4: Simplify right side
    12,374.17x = 193,005,475.00
  5. Step 5: Solve for x
    x = 193,005,475.00/12,374.17
  6. Step 6: Final answer
    x = 15,597.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.