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Finding the Fourth Proportional to 13,776.86, 19,012.08 and 7,489.23

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Solution

The fourth proportional to 13,776.86, 19,012.08 and 7,489.23 is: 10,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.86 : 19,012.08 = 7,489.23 : x
  2. Step 2: Convert to fraction form
    13,776.86/19,012.08 = 7,489.23/x
  3. Step 3: Cross multiply
    13,776.86x = 19,012.08 × 7,489.23
  4. Step 4: Simplify right side
    13,776.86x = 142,385,839.90
  5. Step 5: Solve for x
    x = 142,385,839.90/13,776.86
  6. Step 6: Final answer
    x = 10,335.15

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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.