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Finding the Fourth Proportional to 5,726.34, 8,572.23 and 5,178.78

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Solution

The fourth proportional to 5,726.34, 8,572.23 and 5,178.78 is: 7,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.34 : 8,572.23 = 5,178.78 : x
  2. Step 2: Convert to fraction form
    5,726.34/8,572.23 = 5,178.78/x
  3. Step 3: Cross multiply
    5,726.34x = 8,572.23 × 5,178.78
  4. Step 4: Simplify right side
    5,726.34x = 44,393,693.28
  5. Step 5: Solve for x
    x = 44,393,693.28/5,726.34
  6. Step 6: Final answer
    x = 7,752.54

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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.