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Finding the Fourth Proportional to 5,648.47, 7,795.26 and 3,130.69

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Solution

The fourth proportional to 5,648.47, 7,795.26 and 3,130.69 is: 4,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.47 : 7,795.26 = 3,130.69 : x
  2. Step 2: Convert to fraction form
    5,648.47/7,795.26 = 3,130.69/x
  3. Step 3: Cross multiply
    5,648.47x = 7,795.26 × 3,130.69
  4. Step 4: Simplify right side
    5,648.47x = 24,404,542.53
  5. Step 5: Solve for x
    x = 24,404,542.53/5,648.47
  6. Step 6: Final answer
    x = 4,320.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.