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Finding the Fourth Proportional to 1,658.16, 2,487.24 and 1,570.68

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Solution

The fourth proportional to 1,658.16, 2,487.24 and 1,570.68 is: 2,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.16 : 2,487.24 = 1,570.68 : x
  2. Step 2: Convert to fraction form
    1,658.16/2,487.24 = 1,570.68/x
  3. Step 3: Cross multiply
    1,658.16x = 2,487.24 × 1,570.68
  4. Step 4: Simplify right side
    1,658.16x = 3,906,658.12
  5. Step 5: Solve for x
    x = 3,906,658.12/1,658.16
  6. Step 6: Final answer
    x = 2,356.02

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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.