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Finding the Fourth Proportional to 1,487.18, 2,052.03 and 866.06

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Solution

The fourth proportional to 1,487.18, 2,052.03 and 866.06 is: 1,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.18 : 2,052.03 = 866.06 : x
  2. Step 2: Convert to fraction form
    1,487.18/2,052.03 = 866.06/x
  3. Step 3: Cross multiply
    1,487.18x = 2,052.03 × 866.06
  4. Step 4: Simplify right side
    1,487.18x = 1,777,181.10
  5. Step 5: Solve for x
    x = 1,777,181.10/1,487.18
  6. Step 6: Final answer
    x = 1,195.00

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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.