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Finding the Fourth Proportional to 10,400.76, 14,335.84 and 7,747.20

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Solution

The fourth proportional to 10,400.76, 14,335.84 and 7,747.20 is: 10,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.76 : 14,335.84 = 7,747.20 : x
  2. Step 2: Convert to fraction form
    10,400.76/14,335.84 = 7,747.20/x
  3. Step 3: Cross multiply
    10,400.76x = 14,335.84 × 7,747.20
  4. Step 4: Simplify right side
    10,400.76x = 111,062,619.65
  5. Step 5: Solve for x
    x = 111,062,619.65/10,400.76
  6. Step 6: Final answer
    x = 10,678.32

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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.