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Finding the Fourth Proportional to 5,215.78, 7,782.49 and 4,723.30

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Solution

The fourth proportional to 5,215.78, 7,782.49 and 4,723.30 is: 7,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.78 : 7,782.49 = 4,723.30 : x
  2. Step 2: Convert to fraction form
    5,215.78/7,782.49 = 4,723.30/x
  3. Step 3: Cross multiply
    5,215.78x = 7,782.49 × 4,723.30
  4. Step 4: Simplify right side
    5,215.78x = 36,759,035.02
  5. Step 5: Solve for x
    x = 36,759,035.02/5,215.78
  6. Step 6: Final answer
    x = 7,047.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.