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Finding the Fourth Proportional to 7,525, 10,384.35 and 4,167.78

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Solution

The fourth proportional to 7,525, 10,384.35 and 4,167.78 is: 5,751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525 : 10,384.35 = 4,167.78 : x
  2. Step 2: Convert to fraction form
    7,525/10,384.35 = 4,167.78/x
  3. Step 3: Cross multiply
    7,525x = 10,384.35 × 4,167.78
  4. Step 4: Simplify right side
    7,525x = 43,279,686.24
  5. Step 5: Solve for x
    x = 43,279,686.24/7,525
  6. Step 6: Final answer
    x = 5,751.45

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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.