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Finding the Fourth Proportional to 6,641.58, 9,165.16 and 3,657.34

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Solution

The fourth proportional to 6,641.58, 9,165.16 and 3,657.34 is: 5,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.58 : 9,165.16 = 3,657.34 : x
  2. Step 2: Convert to fraction form
    6,641.58/9,165.16 = 3,657.34/x
  3. Step 3: Cross multiply
    6,641.58x = 9,165.16 × 3,657.34
  4. Step 4: Simplify right side
    6,641.58x = 33,520,070.75
  5. Step 5: Solve for x
    x = 33,520,070.75/6,641.58
  6. Step 6: Final answer
    x = 5,047.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.