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Finding the Fourth Proportional to 12,970.80, 17,862.03 and 11,268.53

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Solution

The fourth proportional to 12,970.80, 17,862.03 and 11,268.53 is: 15,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.80 : 17,862.03 = 11,268.53 : x
  2. Step 2: Convert to fraction form
    12,970.80/17,862.03 = 11,268.53/x
  3. Step 3: Cross multiply
    12,970.80x = 17,862.03 × 11,268.53
  4. Step 4: Simplify right side
    12,970.80x = 201,278,731.61
  5. Step 5: Solve for x
    x = 201,278,731.61/12,970.80
  6. Step 6: Final answer
    x = 15,517.83

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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.