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Finding the Fourth Proportional to 9,159.81, 12,640.81 and 5,180.84

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Solution

The fourth proportional to 9,159.81, 12,640.81 and 5,180.84 is: 7,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.81 : 12,640.81 = 5,180.84 : x
  2. Step 2: Convert to fraction form
    9,159.81/12,640.81 = 5,180.84/x
  3. Step 3: Cross multiply
    9,159.81x = 12,640.81 × 5,180.84
  4. Step 4: Simplify right side
    9,159.81x = 65,490,058.63
  5. Step 5: Solve for x
    x = 65,490,058.63/9,159.81
  6. Step 6: Final answer
    x = 7,149.72

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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.