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Finding the Fourth Proportional to 2,869.84, 4,304.76 and 2,656.72

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Solution

The fourth proportional to 2,869.84, 4,304.76 and 2,656.72 is: 3,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.84 : 4,304.76 = 2,656.72 : x
  2. Step 2: Convert to fraction form
    2,869.84/4,304.76 = 2,656.72/x
  3. Step 3: Cross multiply
    2,869.84x = 4,304.76 × 2,656.72
  4. Step 4: Simplify right side
    2,869.84x = 11,436,541.99
  5. Step 5: Solve for x
    x = 11,436,541.99/2,869.84
  6. Step 6: Final answer
    x = 3,985.08

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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.