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Finding the Fourth Proportional to 5,207.30, 7,798.80 and 5,102.90

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Solution

The fourth proportional to 5,207.30, 7,798.80 and 5,102.90 is: 7,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.30 : 7,798.80 = 5,102.90 : x
  2. Step 2: Convert to fraction form
    5,207.30/7,798.80 = 5,102.90/x
  3. Step 3: Cross multiply
    5,207.30x = 7,798.80 × 5,102.90
  4. Step 4: Simplify right side
    5,207.30x = 39,796,496.52
  5. Step 5: Solve for x
    x = 39,796,496.52/5,207.30
  6. Step 6: Final answer
    x = 7,642.44

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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.