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Finding the Fourth Proportional to 7,924.40, 10,907.16 and 7,470.80

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Solution

The fourth proportional to 7,924.40, 10,907.16 and 7,470.80 is: 10,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.40 : 10,907.16 = 7,470.80 : x
  2. Step 2: Convert to fraction form
    7,924.40/10,907.16 = 7,470.80/x
  3. Step 3: Cross multiply
    7,924.40x = 10,907.16 × 7,470.80
  4. Step 4: Simplify right side
    7,924.40x = 81,485,210.93
  5. Step 5: Solve for x
    x = 81,485,210.93/7,924.40
  6. Step 6: Final answer
    x = 10,282.82

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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.