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Finding the Fourth Proportional to 10,064.76, 13,890.96 and 9,621.84

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Solution

The fourth proportional to 10,064.76, 13,890.96 and 9,621.84 is: 13,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.76 : 13,890.96 = 9,621.84 : x
  2. Step 2: Convert to fraction form
    10,064.76/13,890.96 = 9,621.84/x
  3. Step 3: Cross multiply
    10,064.76x = 13,890.96 × 9,621.84
  4. Step 4: Simplify right side
    10,064.76x = 133,656,594.57
  5. Step 5: Solve for x
    x = 133,656,594.57/10,064.76
  6. Step 6: Final answer
    x = 13,279.66

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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.