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Finding the Fourth Proportional to 10,374, 15,527.70 and 5,436.60

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Solution

The fourth proportional to 10,374, 15,527.70 and 5,436.60 is: 8,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374 : 15,527.70 = 5,436.60 : x
  2. Step 2: Convert to fraction form
    10,374/15,527.70 = 5,436.60/x
  3. Step 3: Cross multiply
    10,374x = 15,527.70 × 5,436.60
  4. Step 4: Simplify right side
    10,374x = 84,417,893.82
  5. Step 5: Solve for x
    x = 84,417,893.82/10,374
  6. Step 6: Final answer
    x = 8,137.45

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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.