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Finding the Fourth Proportional to 12,871.23, 17,760.65 and 7,564.11

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Solution

The fourth proportional to 12,871.23, 17,760.65 and 7,564.11 is: 10,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.23 : 17,760.65 = 7,564.11 : x
  2. Step 2: Convert to fraction form
    12,871.23/17,760.65 = 7,564.11/x
  3. Step 3: Cross multiply
    12,871.23x = 17,760.65 × 7,564.11
  4. Step 4: Simplify right side
    12,871.23x = 134,343,472.45
  5. Step 5: Solve for x
    x = 134,343,472.45/12,871.23
  6. Step 6: Final answer
    x = 10,437.50

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1.5x scale

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.