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Finding the Fourth Proportional to 1,089.32, 1,502.12 and 1,003.86

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Solution

The fourth proportional to 1,089.32, 1,502.12 and 1,003.86 is: 1,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.32 : 1,502.12 = 1,003.86 : x
  2. Step 2: Convert to fraction form
    1,089.32/1,502.12 = 1,003.86/x
  3. Step 3: Cross multiply
    1,089.32x = 1,502.12 × 1,003.86
  4. Step 4: Simplify right side
    1,089.32x = 1,507,918.18
  5. Step 5: Solve for x
    x = 1,507,918.18/1,089.32
  6. Step 6: Final answer
    x = 1,384.27

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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.