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Finding the Fourth Proportional to 7,782.88, 10,740.37 and 4,988.38

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Solution

The fourth proportional to 7,782.88, 10,740.37 and 4,988.38 is: 6,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.88 : 10,740.37 = 4,988.38 : x
  2. Step 2: Convert to fraction form
    7,782.88/10,740.37 = 4,988.38/x
  3. Step 3: Cross multiply
    7,782.88x = 10,740.37 × 4,988.38
  4. Step 4: Simplify right side
    7,782.88x = 53,576,993.20
  5. Step 5: Solve for x
    x = 53,576,993.20/7,782.88
  6. Step 6: Final answer
    x = 6,883.96

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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.