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Finding the Fourth Proportional to 1,386.64, 2,082.66 and 1,019.98

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Solution

The fourth proportional to 1,386.64, 2,082.66 and 1,019.98 is: 1,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.64 : 2,082.66 = 1,019.98 : x
  2. Step 2: Convert to fraction form
    1,386.64/2,082.66 = 1,019.98/x
  3. Step 3: Cross multiply
    1,386.64x = 2,082.66 × 1,019.98
  4. Step 4: Simplify right side
    1,386.64x = 2,124,271.55
  5. Step 5: Solve for x
    x = 2,124,271.55/1,386.64
  6. Step 6: Final answer
    x = 1,531.96

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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.