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Finding the Fourth Proportional to 7,782, 10,739.16 and 4,987.50

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Solution

The fourth proportional to 7,782, 10,739.16 and 4,987.50 is: 6,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 10,739.16 = 4,987.50 : x
  2. Step 2: Convert to fraction form
    7,782/10,739.16 = 4,987.50/x
  3. Step 3: Cross multiply
    7,782x = 10,739.16 × 4,987.50
  4. Step 4: Simplify right side
    7,782x = 53,561,560.50
  5. Step 5: Solve for x
    x = 53,561,560.50/7,782
  6. Step 6: Final answer
    x = 6,882.75

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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.