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Finding the Fourth Proportional to 12,862.27, 17,750.37 and 7,557

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Solution

The fourth proportional to 12,862.27, 17,750.37 and 7,557 is: 10,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.27 : 17,750.37 = 7,557 : x
  2. Step 2: Convert to fraction form
    12,862.27/17,750.37 = 7,557/x
  3. Step 3: Cross multiply
    12,862.27x = 17,750.37 × 7,557
  4. Step 4: Simplify right side
    12,862.27x = 134,139,546.09
  5. Step 5: Solve for x
    x = 134,139,546.09/12,862.27
  6. Step 6: Final answer
    x = 10,428.92

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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.