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Finding the Fourth Proportional to 1,386.28, 2,066 and 1,374.76

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Solution

The fourth proportional to 1,386.28, 2,066 and 1,374.76 is: 2,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.28 : 2,066 = 1,374.76 : x
  2. Step 2: Convert to fraction form
    1,386.28/2,066 = 1,374.76/x
  3. Step 3: Cross multiply
    1,386.28x = 2,066 × 1,374.76
  4. Step 4: Simplify right side
    1,386.28x = 2,840,254.16
  5. Step 5: Solve for x
    x = 2,840,254.16/1,386.28
  6. Step 6: Final answer
    x = 2,048.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.