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Finding the Fourth Proportional to 9,672.50, 13,354.49 and 7,430.38

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Solution

The fourth proportional to 9,672.50, 13,354.49 and 7,430.38 is: 10,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.50 : 13,354.49 = 7,430.38 : x
  2. Step 2: Convert to fraction form
    9,672.50/13,354.49 = 7,430.38/x
  3. Step 3: Cross multiply
    9,672.50x = 13,354.49 × 7,430.38
  4. Step 4: Simplify right side
    9,672.50x = 99,228,935.41
  5. Step 5: Solve for x
    x = 99,228,935.41/9,672.50
  6. Step 6: Final answer
    x = 10,258.87

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1.5x scale

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.