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Finding the Fourth Proportional to 5,215.32, 7,830.26 and 4,977.16

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Solution

The fourth proportional to 5,215.32, 7,830.26 and 4,977.16 is: 7,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.32 : 7,830.26 = 4,977.16 : x
  2. Step 2: Convert to fraction form
    5,215.32/7,830.26 = 4,977.16/x
  3. Step 3: Cross multiply
    5,215.32x = 7,830.26 × 4,977.16
  4. Step 4: Simplify right side
    5,215.32x = 38,972,456.86
  5. Step 5: Solve for x
    x = 38,972,456.86/5,215.32
  6. Step 6: Final answer
    x = 7,472.69

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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.