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Finding the Fourth Proportional to 6,590.70, 9,877.68 and 6,418.44

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Solution

The fourth proportional to 6,590.70, 9,877.68 and 6,418.44 is: 9,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.70 : 9,877.68 = 6,418.44 : x
  2. Step 2: Convert to fraction form
    6,590.70/9,877.68 = 6,418.44/x
  3. Step 3: Cross multiply
    6,590.70x = 9,877.68 × 6,418.44
  4. Step 4: Simplify right side
    6,590.70x = 63,399,296.42
  5. Step 5: Solve for x
    x = 63,399,296.42/6,590.70
  6. Step 6: Final answer
    x = 9,619.51

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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.