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Finding the Fourth Proportional to 9,875.71, 13,604.52 and 8,454.79

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Solution

The fourth proportional to 9,875.71, 13,604.52 and 8,454.79 is: 11,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.71 : 13,604.52 = 8,454.79 : x
  2. Step 2: Convert to fraction form
    9,875.71/13,604.52 = 8,454.79/x
  3. Step 3: Cross multiply
    9,875.71x = 13,604.52 × 8,454.79
  4. Step 4: Simplify right side
    9,875.71x = 115,023,359.65
  5. Step 5: Solve for x
    x = 115,023,359.65/9,875.71
  6. Step 6: Final answer
    x = 11,647.10

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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.