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Finding the Fourth Proportional to 1,757.12, 2,424.84 and 971.16

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Solution

The fourth proportional to 1,757.12, 2,424.84 and 971.16 is: 1,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.12 : 2,424.84 = 971.16 : x
  2. Step 2: Convert to fraction form
    1,757.12/2,424.84 = 971.16/x
  3. Step 3: Cross multiply
    1,757.12x = 2,424.84 × 971.16
  4. Step 4: Simplify right side
    1,757.12x = 2,354,915.34
  5. Step 5: Solve for x
    x = 2,354,915.34/1,757.12
  6. Step 6: Final answer
    x = 1,340.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.