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Finding the Fourth Proportional to 6,514.70, 9,772.31 and 1,897.70

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Solution

The fourth proportional to 6,514.70, 9,772.31 and 1,897.70 is: 2,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.70 : 9,772.31 = 1,897.70 : x
  2. Step 2: Convert to fraction form
    6,514.70/9,772.31 = 1,897.70/x
  3. Step 3: Cross multiply
    6,514.70x = 9,772.31 × 1,897.70
  4. Step 4: Simplify right side
    6,514.70x = 18,544,854.34
  5. Step 5: Solve for x
    x = 18,544,854.34/6,514.70
  6. Step 6: Final answer
    x = 2,846.62

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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.