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Finding the Fourth Proportional to 13,008.40, 17,947.17 and 7,342.48

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Solution

The fourth proportional to 13,008.40, 17,947.17 and 7,342.48 is: 10,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.40 : 17,947.17 = 7,342.48 : x
  2. Step 2: Convert to fraction form
    13,008.40/17,947.17 = 7,342.48/x
  3. Step 3: Cross multiply
    13,008.40x = 17,947.17 × 7,342.48
  4. Step 4: Simplify right side
    13,008.40x = 131,776,736.78
  5. Step 5: Solve for x
    x = 131,776,736.78/13,008.40
  6. Step 6: Final answer
    x = 10,130.13

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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.