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Finding the Fourth Proportional to 2,399.16, 3,307.86 and 1,981.20

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Solution

The fourth proportional to 2,399.16, 3,307.86 and 1,981.20 is: 2,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.16 : 3,307.86 = 1,981.20 : x
  2. Step 2: Convert to fraction form
    2,399.16/3,307.86 = 1,981.20/x
  3. Step 3: Cross multiply
    2,399.16x = 3,307.86 × 1,981.20
  4. Step 4: Simplify right side
    2,399.16x = 6,553,532.23
  5. Step 5: Solve for x
    x = 6,553,532.23/2,399.16
  6. Step 6: Final answer
    x = 2,731.59

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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.