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Finding the Fourth Proportional to 12,842.70, 17,719.47 and 7,535.58

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Solution

The fourth proportional to 12,842.70, 17,719.47 and 7,535.58 is: 10,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.70 : 17,719.47 = 7,535.58 : x
  2. Step 2: Convert to fraction form
    12,842.70/17,719.47 = 7,535.58/x
  3. Step 3: Cross multiply
    12,842.70x = 17,719.47 × 7,535.58
  4. Step 4: Simplify right side
    12,842.70x = 133,526,483.74
  5. Step 5: Solve for x
    x = 133,526,483.74/12,842.70
  6. Step 6: Final answer
    x = 10,397.07

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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.