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Finding the Fourth Proportional to 7,866.40, 10,827.12 and 7,412.80

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Solution

The fourth proportional to 7,866.40, 10,827.12 and 7,412.80 is: 10,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.40 : 10,827.12 = 7,412.80 : x
  2. Step 2: Convert to fraction form
    7,866.40/10,827.12 = 7,412.80/x
  3. Step 3: Cross multiply
    7,866.40x = 10,827.12 × 7,412.80
  4. Step 4: Simplify right side
    7,866.40x = 80,259,275.14
  5. Step 5: Solve for x
    x = 80,259,275.14/7,866.40
  6. Step 6: Final answer
    x = 10,202.80

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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.