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Finding the Fourth Proportional to 12,862.63, 19,293.92 and 8,448.16

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Solution

The fourth proportional to 12,862.63, 19,293.92 and 8,448.16 is: 12,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.63 : 19,293.92 = 8,448.16 : x
  2. Step 2: Convert to fraction form
    12,862.63/19,293.92 = 8,448.16/x
  3. Step 3: Cross multiply
    12,862.63x = 19,293.92 × 8,448.16
  4. Step 4: Simplify right side
    12,862.63x = 162,998,123.19
  5. Step 5: Solve for x
    x = 162,998,123.19/12,862.63
  6. Step 6: Final answer
    x = 12,672.22

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1.5x scale

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.