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Finding the Fourth Proportional to 13,159.71, 18,160.36 and 7,191.42

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Solution

The fourth proportional to 13,159.71, 18,160.36 and 7,191.42 is: 9,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.71 : 18,160.36 = 7,191.42 : x
  2. Step 2: Convert to fraction form
    13,159.71/18,160.36 = 7,191.42/x
  3. Step 3: Cross multiply
    13,159.71x = 18,160.36 × 7,191.42
  4. Step 4: Simplify right side
    13,159.71x = 130,598,649.35
  5. Step 5: Solve for x
    x = 130,598,649.35/13,159.71
  6. Step 6: Final answer
    x = 9,924.13

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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.