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Finding the Fourth Proportional to 7,902.40, 10,876.80 and 7,448.80

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Solution

The fourth proportional to 7,902.40, 10,876.80 and 7,448.80 is: 10,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.40 : 10,876.80 = 7,448.80 : x
  2. Step 2: Convert to fraction form
    7,902.40/10,876.80 = 7,448.80/x
  3. Step 3: Cross multiply
    7,902.40x = 10,876.80 × 7,448.80
  4. Step 4: Simplify right side
    7,902.40x = 81,019,107.84
  5. Step 5: Solve for x
    x = 81,019,107.84/7,902.40
  6. Step 6: Final answer
    x = 10,252.47

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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.