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Finding the Fourth Proportional to 2,869.79, 4,302.65 and 1,266.17

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Solution

The fourth proportional to 2,869.79, 4,302.65 and 1,266.17 is: 1,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.79 : 4,302.65 = 1,266.17 : x
  2. Step 2: Convert to fraction form
    2,869.79/4,302.65 = 1,266.17/x
  3. Step 3: Cross multiply
    2,869.79x = 4,302.65 × 1,266.17
  4. Step 4: Simplify right side
    2,869.79x = 5,447,868.00
  5. Step 5: Solve for x
    x = 5,447,868.00/2,869.79
  6. Step 6: Final answer
    x = 1,898.35

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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.