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Finding the Fourth Proportional to 23,412, 35,117.64 and 7,617.72

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Solution

The fourth proportional to 23,412, 35,117.64 and 7,617.72 is: 11,426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412 : 35,117.64 = 7,617.72 : x
  2. Step 2: Convert to fraction form
    23,412/35,117.64 = 7,617.72/x
  3. Step 3: Cross multiply
    23,412x = 35,117.64 × 7,617.72
  4. Step 4: Simplify right side
    23,412x = 267,516,348.58
  5. Step 5: Solve for x
    x = 267,516,348.58/23,412
  6. Step 6: Final answer
    x = 11,426.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.