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Finding the Fourth Proportional to 5,186.79, 7,781.00 and 4,532.31

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Solution

The fourth proportional to 5,186.79, 7,781.00 and 4,532.31 is: 6,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.79 : 7,781.00 = 4,532.31 : x
  2. Step 2: Convert to fraction form
    5,186.79/7,781.00 = 4,532.31/x
  3. Step 3: Cross multiply
    5,186.79x = 7,781.00 × 4,532.31
  4. Step 4: Simplify right side
    5,186.79x = 35,265,881.45
  5. Step 5: Solve for x
    x = 35,265,881.45/5,186.79
  6. Step 6: Final answer
    x = 6,799.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.