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Finding the Fourth Proportional to 2,347.47, 3,520.65 and 787.53

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Solution

The fourth proportional to 2,347.47, 3,520.65 and 787.53 is: 1,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.47 : 3,520.65 = 787.53 : x
  2. Step 2: Convert to fraction form
    2,347.47/3,520.65 = 787.53/x
  3. Step 3: Cross multiply
    2,347.47x = 3,520.65 × 787.53
  4. Step 4: Simplify right side
    2,347.47x = 2,772,617.49
  5. Step 5: Solve for x
    x = 2,772,617.49/2,347.47
  6. Step 6: Final answer
    x = 1,181.11

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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.