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Finding the Fourth Proportional to 7,554, 10,425.16 and 4,242.64

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Solution

The fourth proportional to 7,554, 10,425.16 and 4,242.64 is: 5,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554 : 10,425.16 = 4,242.64 : x
  2. Step 2: Convert to fraction form
    7,554/10,425.16 = 4,242.64/x
  3. Step 3: Cross multiply
    7,554x = 10,425.16 × 4,242.64
  4. Step 4: Simplify right side
    7,554x = 44,230,200.82
  5. Step 5: Solve for x
    x = 44,230,200.82/7,554
  6. Step 6: Final answer
    x = 5,855.20

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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.