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Finding the Fourth Proportional to 5,212.62, 7,779.78 and 4,506.71

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Solution

The fourth proportional to 5,212.62, 7,779.78 and 4,506.71 is: 6,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.62 : 7,779.78 = 4,506.71 : x
  2. Step 2: Convert to fraction form
    5,212.62/7,779.78 = 4,506.71/x
  3. Step 3: Cross multiply
    5,212.62x = 7,779.78 × 4,506.71
  4. Step 4: Simplify right side
    5,212.62x = 35,061,173.42
  5. Step 5: Solve for x
    x = 35,061,173.42/5,212.62
  6. Step 6: Final answer
    x = 6,726.21

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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.