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Finding the Fourth Proportional to 8,957.64, 13,430.70 and 4,275.12

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Solution

The fourth proportional to 8,957.64, 13,430.70 and 4,275.12 is: 6,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.64 : 13,430.70 = 4,275.12 : x
  2. Step 2: Convert to fraction form
    8,957.64/13,430.70 = 4,275.12/x
  3. Step 3: Cross multiply
    8,957.64x = 13,430.70 × 4,275.12
  4. Step 4: Simplify right side
    8,957.64x = 57,417,854.18
  5. Step 5: Solve for x
    x = 57,417,854.18/8,957.64
  6. Step 6: Final answer
    x = 6,409.93

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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.