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Finding the Fourth Proportional to 1,508.40, 2,079 and 1,488.24

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Solution

The fourth proportional to 1,508.40, 2,079 and 1,488.24 is: 2,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.40 : 2,079 = 1,488.24 : x
  2. Step 2: Convert to fraction form
    1,508.40/2,079 = 1,488.24/x
  3. Step 3: Cross multiply
    1,508.40x = 2,079 × 1,488.24
  4. Step 4: Simplify right side
    1,508.40x = 3,094,050.96
  5. Step 5: Solve for x
    x = 3,094,050.96/1,508.40
  6. Step 6: Final answer
    x = 2,051.21

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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.