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Finding the Fourth Proportional to 8,547.50, 12,812.42 and 3,620.18

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Solution

The fourth proportional to 8,547.50, 12,812.42 and 3,620.18 is: 5,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.50 : 12,812.42 = 3,620.18 : x
  2. Step 2: Convert to fraction form
    8,547.50/12,812.42 = 3,620.18/x
  3. Step 3: Cross multiply
    8,547.50x = 12,812.42 × 3,620.18
  4. Step 4: Simplify right side
    8,547.50x = 46,383,266.64
  5. Step 5: Solve for x
    x = 46,383,266.64/8,547.50
  6. Step 6: Final answer
    x = 5,426.53

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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.