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Finding the Fourth Proportional to 1,601.80, 2,397.30 and 1,407.40

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Solution

The fourth proportional to 1,601.80, 2,397.30 and 1,407.40 is: 2,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.80 : 2,397.30 = 1,407.40 : x
  2. Step 2: Convert to fraction form
    1,601.80/2,397.30 = 1,407.40/x
  3. Step 3: Cross multiply
    1,601.80x = 2,397.30 × 1,407.40
  4. Step 4: Simplify right side
    1,601.80x = 3,373,960.02
  5. Step 5: Solve for x
    x = 3,373,960.02/1,601.80
  6. Step 6: Final answer
    x = 2,106.36

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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.