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Finding the Fourth Proportional to 8,547.72, 12,823.28 and 3,617.32

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Solution

The fourth proportional to 8,547.72, 12,823.28 and 3,617.32 is: 5,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.72 : 12,823.28 = 3,617.32 : x
  2. Step 2: Convert to fraction form
    8,547.72/12,823.28 = 3,617.32/x
  3. Step 3: Cross multiply
    8,547.72x = 12,823.28 × 3,617.32
  4. Step 4: Simplify right side
    8,547.72x = 46,385,907.21
  5. Step 5: Solve for x
    x = 46,385,907.21/8,547.72
  6. Step 6: Final answer
    x = 5,426.70

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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.