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Finding the Fourth Proportional to 10,880, 15,009.33 and 6,400.90

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Solution

The fourth proportional to 10,880, 15,009.33 and 6,400.90 is: 8,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880 : 15,009.33 = 6,400.90 : x
  2. Step 2: Convert to fraction form
    10,880/15,009.33 = 6,400.90/x
  3. Step 3: Cross multiply
    10,880x = 15,009.33 × 6,400.90
  4. Step 4: Simplify right side
    10,880x = 96,073,220.40
  5. Step 5: Solve for x
    x = 96,073,220.40/10,880
  6. Step 6: Final answer
    x = 8,830.26

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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.