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Finding the Fourth Proportional to 7,161.70, 10,713.83 and 5,931.50

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Solution

The fourth proportional to 7,161.70, 10,713.83 and 5,931.50 is: 8,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.70 : 10,713.83 = 5,931.50 : x
  2. Step 2: Convert to fraction form
    7,161.70/10,713.83 = 5,931.50/x
  3. Step 3: Cross multiply
    7,161.70x = 10,713.83 × 5,931.50
  4. Step 4: Simplify right side
    7,161.70x = 63,549,052.99
  5. Step 5: Solve for x
    x = 63,549,052.99/7,161.70
  6. Step 6: Final answer
    x = 8,873.47

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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.