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Finding the Fourth Proportional to 2,397.80, 3,596.41 and 642.93

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Solution

The fourth proportional to 2,397.80, 3,596.41 and 642.93 is: 964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.80 : 3,596.41 = 642.93 : x
  2. Step 2: Convert to fraction form
    2,397.80/3,596.41 = 642.93/x
  3. Step 3: Cross multiply
    2,397.80x = 3,596.41 × 642.93
  4. Step 4: Simplify right side
    2,397.80x = 2,312,236.67
  5. Step 5: Solve for x
    x = 2,312,236.67/2,397.80
  6. Step 6: Final answer
    x = 964.32

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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.