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Finding the Fourth Proportional to 7,894, 10,861.20 and 7,699.60

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Solution

The fourth proportional to 7,894, 10,861.20 and 7,699.60 is: 10,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894 : 10,861.20 = 7,699.60 : x
  2. Step 2: Convert to fraction form
    7,894/10,861.20 = 7,699.60/x
  3. Step 3: Cross multiply
    7,894x = 10,861.20 × 7,699.60
  4. Step 4: Simplify right side
    7,894x = 83,626,895.52
  5. Step 5: Solve for x
    x = 83,626,895.52/7,894
  6. Step 6: Final answer
    x = 10,593.73

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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.