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Finding the Fourth Proportional to 5,277.88, 7,952 and 4,778.16

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Solution

The fourth proportional to 5,277.88, 7,952 and 4,778.16 is: 7,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.88 : 7,952 = 4,778.16 : x
  2. Step 2: Convert to fraction form
    5,277.88/7,952 = 4,778.16/x
  3. Step 3: Cross multiply
    5,277.88x = 7,952 × 4,778.16
  4. Step 4: Simplify right side
    5,277.88x = 37,995,928.32
  5. Step 5: Solve for x
    x = 37,995,928.32/5,277.88
  6. Step 6: Final answer
    x = 7,199.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.