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Finding the Fourth Proportional to 10,293, 15,440.10 and 2,898.02

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Solution

The fourth proportional to 10,293, 15,440.10 and 2,898.02 is: 4,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293 : 15,440.10 = 2,898.02 : x
  2. Step 2: Convert to fraction form
    10,293/15,440.10 = 2,898.02/x
  3. Step 3: Cross multiply
    10,293x = 15,440.10 × 2,898.02
  4. Step 4: Simplify right side
    10,293x = 44,745,718.60
  5. Step 5: Solve for x
    x = 44,745,718.60/10,293
  6. Step 6: Final answer
    x = 4,347.20

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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.