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Finding the Fourth Proportional to 2,590.16, 3,885.20 and 642.38

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Solution

The fourth proportional to 2,590.16, 3,885.20 and 642.38 is: 963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.16 : 3,885.20 = 642.38 : x
  2. Step 2: Convert to fraction form
    2,590.16/3,885.20 = 642.38/x
  3. Step 3: Cross multiply
    2,590.16x = 3,885.20 × 642.38
  4. Step 4: Simplify right side
    2,590.16x = 2,495,774.78
  5. Step 5: Solve for x
    x = 2,495,774.78/2,590.16
  6. Step 6: Final answer
    x = 963.56

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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.