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Finding the Fourth Proportional to 12,963.23, 17,886.48 and 8,248.42

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Solution

The fourth proportional to 12,963.23, 17,886.48 and 8,248.42 is: 11,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.23 : 17,886.48 = 8,248.42 : x
  2. Step 2: Convert to fraction form
    12,963.23/17,886.48 = 8,248.42/x
  3. Step 3: Cross multiply
    12,963.23x = 17,886.48 × 8,248.42
  4. Step 4: Simplify right side
    12,963.23x = 147,535,199.36
  5. Step 5: Solve for x
    x = 147,535,199.36/12,963.23
  6. Step 6: Final answer
    x = 11,381.05

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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.