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Finding the Fourth Proportional to 8,187.68, 11,292.90 and 6,415.76

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Solution

The fourth proportional to 8,187.68, 11,292.90 and 6,415.76 is: 8,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.68 : 11,292.90 = 6,415.76 : x
  2. Step 2: Convert to fraction form
    8,187.68/11,292.90 = 6,415.76/x
  3. Step 3: Cross multiply
    8,187.68x = 11,292.90 × 6,415.76
  4. Step 4: Simplify right side
    8,187.68x = 72,452,536.10
  5. Step 5: Solve for x
    x = 72,452,536.10/8,187.68
  6. Step 6: Final answer
    x = 8,848.97

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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.