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Finding the Fourth Proportional to 5,188, 7,782.08 and 1,540

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Solution

The fourth proportional to 5,188, 7,782.08 and 1,540 is: 2,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 7,782.08 = 1,540 : x
  2. Step 2: Convert to fraction form
    5,188/7,782.08 = 1,540/x
  3. Step 3: Cross multiply
    5,188x = 7,782.08 × 1,540
  4. Step 4: Simplify right side
    5,188x = 11,984,403.20
  5. Step 5: Solve for x
    x = 11,984,403.20/5,188
  6. Step 6: Final answer
    x = 2,310.02

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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.