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Finding the Fourth Proportional to 10,871.76, 15,018.55 and 8,502.51

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Solution

The fourth proportional to 10,871.76, 15,018.55 and 8,502.51 is: 11,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.76 : 15,018.55 = 8,502.51 : x
  2. Step 2: Convert to fraction form
    10,871.76/15,018.55 = 8,502.51/x
  3. Step 3: Cross multiply
    10,871.76x = 15,018.55 × 8,502.51
  4. Step 4: Simplify right side
    10,871.76x = 127,695,371.56
  5. Step 5: Solve for x
    x = 127,695,371.56/10,871.76
  6. Step 6: Final answer
    x = 11,745.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.