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Finding the Fourth Proportional to 1,606.20, 2,397.80 and 1,492

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Solution

The fourth proportional to 1,606.20, 2,397.80 and 1,492 is: 2,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.20 : 2,397.80 = 1,492 : x
  2. Step 2: Convert to fraction form
    1,606.20/2,397.80 = 1,492/x
  3. Step 3: Cross multiply
    1,606.20x = 2,397.80 × 1,492
  4. Step 4: Simplify right side
    1,606.20x = 3,577,510.14
  5. Step 5: Solve for x
    x = 3,577,510.14/1,606.20
  6. Step 6: Final answer
    x = 2,227.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.