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Finding the Fourth Proportional to 8,656.11, 12,973.12 and 4,214.84

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Solution

The fourth proportional to 8,656.11, 12,973.12 and 4,214.84 is: 6,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.11 : 12,973.12 = 4,214.84 : x
  2. Step 2: Convert to fraction form
    8,656.11/12,973.12 = 4,214.84/x
  3. Step 3: Cross multiply
    8,656.11x = 12,973.12 × 4,214.84
  4. Step 4: Simplify right side
    8,656.11x = 54,679,549.70
  5. Step 5: Solve for x
    x = 54,679,549.70/8,656.11
  6. Step 6: Final answer
    x = 6,316.87

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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.