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Finding the Fourth Proportional to 12,159.59, 16,780.32 and 6,854.49

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Solution

The fourth proportional to 12,159.59, 16,780.32 and 6,854.49 is: 9,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.59 : 16,780.32 = 6,854.49 : x
  2. Step 2: Convert to fraction form
    12,159.59/16,780.32 = 6,854.49/x
  3. Step 3: Cross multiply
    12,159.59x = 16,780.32 × 6,854.49
  4. Step 4: Simplify right side
    12,159.59x = 115,020,535.64
  5. Step 5: Solve for x
    x = 115,020,535.64/12,159.59
  6. Step 6: Final answer
    x = 9,459.25

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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.