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Finding the Fourth Proportional to 30,547.87, 45,821.87 and 8,361.47

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Solution

The fourth proportional to 30,547.87, 45,821.87 and 8,361.47 is: 12,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.87 : 45,821.87 = 8,361.47 : x
  2. Step 2: Convert to fraction form
    30,547.87/45,821.87 = 8,361.47/x
  3. Step 3: Cross multiply
    30,547.87x = 45,821.87 × 8,361.47
  4. Step 4: Simplify right side
    30,547.87x = 383,138,191.35
  5. Step 5: Solve for x
    x = 383,138,191.35/30,547.87
  6. Step 6: Final answer
    x = 12,542.22

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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.