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Finding the Fourth Proportional to 4,865.40, 7,301.10 and 1,943.40

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Solution

The fourth proportional to 4,865.40, 7,301.10 and 1,943.40 is: 2,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.40 : 7,301.10 = 1,943.40 : x
  2. Step 2: Convert to fraction form
    4,865.40/7,301.10 = 1,943.40/x
  3. Step 3: Cross multiply
    4,865.40x = 7,301.10 × 1,943.40
  4. Step 4: Simplify right side
    4,865.40x = 14,188,957.74
  5. Step 5: Solve for x
    x = 14,188,957.74/4,865.40
  6. Step 6: Final answer
    x = 2,916.30

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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.