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Finding the Fourth Proportional to 10,907.60, 15,054 and 6,432.62

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Solution

The fourth proportional to 10,907.60, 15,054 and 6,432.62 is: 8,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.60 : 15,054 = 6,432.62 : x
  2. Step 2: Convert to fraction form
    10,907.60/15,054 = 6,432.62/x
  3. Step 3: Cross multiply
    10,907.60x = 15,054 × 6,432.62
  4. Step 4: Simplify right side
    10,907.60x = 96,836,661.48
  5. Step 5: Solve for x
    x = 96,836,661.48/10,907.60
  6. Step 6: Final answer
    x = 8,877.91

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Why These Related Problems?

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