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Finding the Fourth Proportional to 2,430.12, 3,640.98 and 1,913.42

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Solution

The fourth proportional to 2,430.12, 3,640.98 and 1,913.42 is: 2,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.12 : 3,640.98 = 1,913.42 : x
  2. Step 2: Convert to fraction form
    2,430.12/3,640.98 = 1,913.42/x
  3. Step 3: Cross multiply
    2,430.12x = 3,640.98 × 1,913.42
  4. Step 4: Simplify right side
    2,430.12x = 6,966,723.95
  5. Step 5: Solve for x
    x = 6,966,723.95/2,430.12
  6. Step 6: Final answer
    x = 2,866.82

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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.