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Finding the Fourth Proportional to 5,382.80, 8,017.78 and 5,130.16

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Solution

The fourth proportional to 5,382.80, 8,017.78 and 5,130.16 is: 7,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.80 : 8,017.78 = 5,130.16 : x
  2. Step 2: Convert to fraction form
    5,382.80/8,017.78 = 5,130.16/x
  3. Step 3: Cross multiply
    5,382.80x = 8,017.78 × 5,130.16
  4. Step 4: Simplify right side
    5,382.80x = 41,132,494.24
  5. Step 5: Solve for x
    x = 41,132,494.24/5,382.80
  6. Step 6: Final answer
    x = 7,641.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.