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Finding the Fourth Proportional to 8,381.60, 12,564.96 and 4,216.16

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Solution

The fourth proportional to 8,381.60, 12,564.96 and 4,216.16 is: 6,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.60 : 12,564.96 = 4,216.16 : x
  2. Step 2: Convert to fraction form
    8,381.60/12,564.96 = 4,216.16/x
  3. Step 3: Cross multiply
    8,381.60x = 12,564.96 × 4,216.16
  4. Step 4: Simplify right side
    8,381.60x = 52,975,881.75
  5. Step 5: Solve for x
    x = 52,975,881.75/8,381.60
  6. Step 6: Final answer
    x = 6,320.50

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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.