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Finding the Fourth Proportional to 1,574.98, 2,358.81 and 1,520.30

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Solution

The fourth proportional to 1,574.98, 2,358.81 and 1,520.30 is: 2,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.98 : 2,358.81 = 1,520.30 : x
  2. Step 2: Convert to fraction form
    1,574.98/2,358.81 = 1,520.30/x
  3. Step 3: Cross multiply
    1,574.98x = 2,358.81 × 1,520.30
  4. Step 4: Simplify right side
    1,574.98x = 3,586,104.74
  5. Step 5: Solve for x
    x = 3,586,104.74/1,574.98
  6. Step 6: Final answer
    x = 2,276.92

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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.