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Finding the Fourth Proportional to 57,011.32, 78,689.10 and 34,651

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Solution

The fourth proportional to 57,011.32, 78,689.10 and 34,651 is: 47,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,011.32 : 78,689.10 = 34,651 : x
  2. Step 2: Convert to fraction form
    57,011.32/78,689.10 = 34,651/x
  3. Step 3: Cross multiply
    57,011.32x = 78,689.10 × 34,651
  4. Step 4: Simplify right side
    57,011.32x = 2,726,656,004.10
  5. Step 5: Solve for x
    x = 2,726,656,004.10/57,011.32
  6. Step 6: Final answer
    x = 47,826.57

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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.