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Finding the Fourth Proportional to 15,012.96, 20,726.26 and 9,984.08

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Solution

The fourth proportional to 15,012.96, 20,726.26 and 9,984.08 is: 13,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.96 : 20,726.26 = 9,984.08 : x
  2. Step 2: Convert to fraction form
    15,012.96/20,726.26 = 9,984.08/x
  3. Step 3: Cross multiply
    15,012.96x = 20,726.26 × 9,984.08
  4. Step 4: Simplify right side
    15,012.96x = 206,932,637.94
  5. Step 5: Solve for x
    x = 206,932,637.94/15,012.96
  6. Step 6: Final answer
    x = 13,783.60

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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.