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Finding the Fourth Proportional to 5,133, 7,081.32 and 3,142.80

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Solution

The fourth proportional to 5,133, 7,081.32 and 3,142.80 is: 4,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133 : 7,081.32 = 3,142.80 : x
  2. Step 2: Convert to fraction form
    5,133/7,081.32 = 3,142.80/x
  3. Step 3: Cross multiply
    5,133x = 7,081.32 × 3,142.80
  4. Step 4: Simplify right side
    5,133x = 22,255,172.50
  5. Step 5: Solve for x
    x = 22,255,172.50/5,133
  6. Step 6: Final answer
    x = 4,335.70

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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.