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Finding the Fourth Proportional to 7,785.80, 10,743.98 and 4,428.16

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Solution

The fourth proportional to 7,785.80, 10,743.98 and 4,428.16 is: 6,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.80 : 10,743.98 = 4,428.16 : x
  2. Step 2: Convert to fraction form
    7,785.80/10,743.98 = 4,428.16/x
  3. Step 3: Cross multiply
    7,785.80x = 10,743.98 × 4,428.16
  4. Step 4: Simplify right side
    7,785.80x = 47,576,062.48
  5. Step 5: Solve for x
    x = 47,576,062.48/7,785.80
  6. Step 6: Final answer
    x = 6,110.62

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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.