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Finding the Fourth Proportional to 12,710.13, 19,064.19 and 5,689.86

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Solution

The fourth proportional to 12,710.13, 19,064.19 and 5,689.86 is: 8,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.13 : 19,064.19 = 5,689.86 : x
  2. Step 2: Convert to fraction form
    12,710.13/19,064.19 = 5,689.86/x
  3. Step 3: Cross multiply
    12,710.13x = 19,064.19 × 5,689.86
  4. Step 4: Simplify right side
    12,710.13x = 108,472,572.11
  5. Step 5: Solve for x
    x = 108,472,572.11/12,710.13
  6. Step 6: Final answer
    x = 8,534.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.