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Finding the Fourth Proportional to 7,946, 10,965.48 and 4,409.78

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Solution

The fourth proportional to 7,946, 10,965.48 and 4,409.78 is: 6,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946 : 10,965.48 = 4,409.78 : x
  2. Step 2: Convert to fraction form
    7,946/10,965.48 = 4,409.78/x
  3. Step 3: Cross multiply
    7,946x = 10,965.48 × 4,409.78
  4. Step 4: Simplify right side
    7,946x = 48,355,354.39
  5. Step 5: Solve for x
    x = 48,355,354.39/7,946
  6. Step 6: Final answer
    x = 6,085.50

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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.