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Finding the Fourth Proportional to 6,443.30, 9,714.65 and 6,403.32

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Solution

The fourth proportional to 6,443.30, 9,714.65 and 6,403.32 is: 9,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.30 : 9,714.65 = 6,403.32 : x
  2. Step 2: Convert to fraction form
    6,443.30/9,714.65 = 6,403.32/x
  3. Step 3: Cross multiply
    6,443.30x = 9,714.65 × 6,403.32
  4. Step 4: Simplify right side
    6,443.30x = 62,206,012.64
  5. Step 5: Solve for x
    x = 62,206,012.64/6,443.30
  6. Step 6: Final answer
    x = 9,654.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.