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Finding the Fourth Proportional to 8,425.51, 11,630.93 and 5,442.80

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Solution

The fourth proportional to 8,425.51, 11,630.93 and 5,442.80 is: 7,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.51 : 11,630.93 = 5,442.80 : x
  2. Step 2: Convert to fraction form
    8,425.51/11,630.93 = 5,442.80/x
  3. Step 3: Cross multiply
    8,425.51x = 11,630.93 × 5,442.80
  4. Step 4: Simplify right side
    8,425.51x = 63,304,740.44
  5. Step 5: Solve for x
    x = 63,304,740.44/8,425.51
  6. Step 6: Final answer
    x = 7,513.47

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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.