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Finding the Fourth Proportional to 10,580.70, 15,871.70 and 2,789.51

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Solution

The fourth proportional to 10,580.70, 15,871.70 and 2,789.51 is: 4,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.70 : 15,871.70 = 2,789.51 : x
  2. Step 2: Convert to fraction form
    10,580.70/15,871.70 = 2,789.51/x
  3. Step 3: Cross multiply
    10,580.70x = 15,871.70 × 2,789.51
  4. Step 4: Simplify right side
    10,580.70x = 44,274,312.52
  5. Step 5: Solve for x
    x = 44,274,312.52/10,580.70
  6. Step 6: Final answer
    x = 4,184.44

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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.