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Finding the Fourth Proportional to 7,750.50, 10,695.80 and 4,213.72

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Solution

The fourth proportional to 7,750.50, 10,695.80 and 4,213.72 is: 5,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.50 : 10,695.80 = 4,213.72 : x
  2. Step 2: Convert to fraction form
    7,750.50/10,695.80 = 4,213.72/x
  3. Step 3: Cross multiply
    7,750.50x = 10,695.80 × 4,213.72
  4. Step 4: Simplify right side
    7,750.50x = 45,069,106.38
  5. Step 5: Solve for x
    x = 45,069,106.38/7,750.50
  6. Step 6: Final answer
    x = 5,814.99

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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.