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Finding the Fourth Proportional to 10,485.75, 14,470.38 and 5,770.11

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Solution

The fourth proportional to 10,485.75, 14,470.38 and 5,770.11 is: 7,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.75 : 14,470.38 = 5,770.11 : x
  2. Step 2: Convert to fraction form
    10,485.75/14,470.38 = 5,770.11/x
  3. Step 3: Cross multiply
    10,485.75x = 14,470.38 × 5,770.11
  4. Step 4: Simplify right side
    10,485.75x = 83,495,684.34
  5. Step 5: Solve for x
    x = 83,495,684.34/10,485.75
  6. Step 6: Final answer
    x = 7,962.78

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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.