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Finding the Fourth Proportional to 5,393.60, 8,108.40 and 4,680.80

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Solution

The fourth proportional to 5,393.60, 8,108.40 and 4,680.80 is: 7,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.60 : 8,108.40 = 4,680.80 : x
  2. Step 2: Convert to fraction form
    5,393.60/8,108.40 = 4,680.80/x
  3. Step 3: Cross multiply
    5,393.60x = 8,108.40 × 4,680.80
  4. Step 4: Simplify right side
    5,393.60x = 37,953,798.72
  5. Step 5: Solve for x
    x = 37,953,798.72/5,393.60
  6. Step 6: Final answer
    x = 7,036.82

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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.