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Finding the Fourth Proportional to 5,279, 7,285.16 and 3,419.24

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Solution

The fourth proportional to 5,279, 7,285.16 and 3,419.24 is: 4,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279 : 7,285.16 = 3,419.24 : x
  2. Step 2: Convert to fraction form
    5,279/7,285.16 = 3,419.24/x
  3. Step 3: Cross multiply
    5,279x = 7,285.16 × 3,419.24
  4. Step 4: Simplify right side
    5,279x = 24,909,710.48
  5. Step 5: Solve for x
    x = 24,909,710.48/5,279
  6. Step 6: Final answer
    x = 4,718.64

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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.