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Finding the Fourth Proportional to 5,644.90, 8,400.91 and 5,458.06

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Solution

The fourth proportional to 5,644.90, 8,400.91 and 5,458.06 is: 8,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.90 : 8,400.91 = 5,458.06 : x
  2. Step 2: Convert to fraction form
    5,644.90/8,400.91 = 5,458.06/x
  3. Step 3: Cross multiply
    5,644.90x = 8,400.91 × 5,458.06
  4. Step 4: Simplify right side
    5,644.90x = 45,852,670.83
  5. Step 5: Solve for x
    x = 45,852,670.83/5,644.90
  6. Step 6: Final answer
    x = 8,122.85

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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.