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Finding the Fourth Proportional to 1,500.81, 2,071.44 and 1,029.66

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Solution

The fourth proportional to 1,500.81, 2,071.44 and 1,029.66 is: 1,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.81 : 2,071.44 = 1,029.66 : x
  2. Step 2: Convert to fraction form
    1,500.81/2,071.44 = 1,029.66/x
  3. Step 3: Cross multiply
    1,500.81x = 2,071.44 × 1,029.66
  4. Step 4: Simplify right side
    1,500.81x = 2,132,878.91
  5. Step 5: Solve for x
    x = 2,132,878.91/1,500.81
  6. Step 6: Final answer
    x = 1,421.15

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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.