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Finding the Fourth Proportional to 5,166, 7,131.60 and 3,178.32

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Solution

The fourth proportional to 5,166, 7,131.60 and 3,178.32 is: 4,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 7,131.60 = 3,178.32 : x
  2. Step 2: Convert to fraction form
    5,166/7,131.60 = 3,178.32/x
  3. Step 3: Cross multiply
    5,166x = 7,131.60 × 3,178.32
  4. Step 4: Simplify right side
    5,166x = 22,666,506.91
  5. Step 5: Solve for x
    x = 22,666,506.91/5,166
  6. Step 6: Final answer
    x = 4,387.63

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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.