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Finding the Fourth Proportional to 12,871.78, 17,765.36 and 9,345.24

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Solution

The fourth proportional to 12,871.78, 17,765.36 and 9,345.24 is: 12,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.78 : 17,765.36 = 9,345.24 : x
  2. Step 2: Convert to fraction form
    12,871.78/17,765.36 = 9,345.24/x
  3. Step 3: Cross multiply
    12,871.78x = 17,765.36 × 9,345.24
  4. Step 4: Simplify right side
    12,871.78x = 166,021,506.16
  5. Step 5: Solve for x
    x = 166,021,506.16/12,871.78
  6. Step 6: Final answer
    x = 12,898.10

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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.