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Finding the Fourth Proportional to 5,309.24, 7,962.78 and 5,045.78

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Solution

The fourth proportional to 5,309.24, 7,962.78 and 5,045.78 is: 7,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.24 : 7,962.78 = 5,045.78 : x
  2. Step 2: Convert to fraction form
    5,309.24/7,962.78 = 5,045.78/x
  3. Step 3: Cross multiply
    5,309.24x = 7,962.78 × 5,045.78
  4. Step 4: Simplify right side
    5,309.24x = 40,178,396.25
  5. Step 5: Solve for x
    x = 40,178,396.25/5,309.24
  6. Step 6: Final answer
    x = 7,567.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.