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Finding the Fourth Proportional to 8,580.80, 12,867.84 and 3,032.64

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Solution

The fourth proportional to 8,580.80, 12,867.84 and 3,032.64 is: 4,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.80 : 12,867.84 = 3,032.64 : x
  2. Step 2: Convert to fraction form
    8,580.80/12,867.84 = 3,032.64/x
  3. Step 3: Cross multiply
    8,580.80x = 12,867.84 × 3,032.64
  4. Step 4: Simplify right side
    8,580.80x = 39,023,526.30
  5. Step 5: Solve for x
    x = 39,023,526.30/8,580.80
  6. Step 6: Final answer
    x = 4,547.77

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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.