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Finding the Fourth Proportional to 9,475.80, 13,240.20 and 9,475.80

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Solution

The fourth proportional to 9,475.80, 13,240.20 and 9,475.80 is: 13,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.80 : 13,240.20 = 9,475.80 : x
  2. Step 2: Convert to fraction form
    9,475.80/13,240.20 = 9,475.80/x
  3. Step 3: Cross multiply
    9,475.80x = 13,240.20 × 9,475.80
  4. Step 4: Simplify right side
    9,475.80x = 125,461,487.16
  5. Step 5: Solve for x
    x = 125,461,487.16/9,475.80
  6. Step 6: Final answer
    x = 13,240.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.