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Finding the Fourth Proportional to 10,980.74, 15,152 and 6,264.74

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Solution

The fourth proportional to 10,980.74, 15,152 and 6,264.74 is: 8,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.74 : 15,152 = 6,264.74 : x
  2. Step 2: Convert to fraction form
    10,980.74/15,152 = 6,264.74/x
  3. Step 3: Cross multiply
    10,980.74x = 15,152 × 6,264.74
  4. Step 4: Simplify right side
    10,980.74x = 94,923,340.48
  5. Step 5: Solve for x
    x = 94,923,340.48/10,980.74
  6. Step 6: Final answer
    x = 8,644.53

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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.