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Finding the Fourth Proportional to 2,397.90, 3,596.77 and 992.28

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Solution

The fourth proportional to 2,397.90, 3,596.77 and 992.28 is: 1,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.90 : 3,596.77 = 992.28 : x
  2. Step 2: Convert to fraction form
    2,397.90/3,596.77 = 992.28/x
  3. Step 3: Cross multiply
    2,397.90x = 3,596.77 × 992.28
  4. Step 4: Simplify right side
    2,397.90x = 3,569,002.94
  5. Step 5: Solve for x
    x = 3,569,002.94/2,397.90
  6. Step 6: Final answer
    x = 1,488.39

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1.5x scale

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.