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Finding the Fourth Proportional to 2,397.80, 3,308.98 and 1,650.50

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Solution

The fourth proportional to 2,397.80, 3,308.98 and 1,650.50 is: 2,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.80 : 3,308.98 = 1,650.50 : x
  2. Step 2: Convert to fraction form
    2,397.80/3,308.98 = 1,650.50/x
  3. Step 3: Cross multiply
    2,397.80x = 3,308.98 × 1,650.50
  4. Step 4: Simplify right side
    2,397.80x = 5,461,470.99
  5. Step 5: Solve for x
    x = 5,461,470.99/2,397.80
  6. Step 6: Final answer
    x = 2,277.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.