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Finding the Fourth Proportional to 7,781.63, 10,738.64 and 4,987.13

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Solution

The fourth proportional to 7,781.63, 10,738.64 and 4,987.13 is: 6,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.63 : 10,738.64 = 4,987.13 : x
  2. Step 2: Convert to fraction form
    7,781.63/10,738.64 = 4,987.13/x
  3. Step 3: Cross multiply
    7,781.63x = 10,738.64 × 4,987.13
  4. Step 4: Simplify right side
    7,781.63x = 53,554,952.48
  5. Step 5: Solve for x
    x = 53,554,952.48/7,781.63
  6. Step 6: Final answer
    x = 6,882.23

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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.