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Finding the Fourth Proportional to 8,473.80, 11,689.80 and 5,642.48

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Solution

The fourth proportional to 8,473.80, 11,689.80 and 5,642.48 is: 7,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.80 : 11,689.80 = 5,642.48 : x
  2. Step 2: Convert to fraction form
    8,473.80/11,689.80 = 5,642.48/x
  3. Step 3: Cross multiply
    8,473.80x = 11,689.80 × 5,642.48
  4. Step 4: Simplify right side
    8,473.80x = 65,959,462.70
  5. Step 5: Solve for x
    x = 65,959,462.70/8,473.80
  6. Step 6: Final answer
    x = 7,783.93

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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.