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Finding the Fourth Proportional to 6,410.34, 9,616.68 and 2,947.50

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Solution

The fourth proportional to 6,410.34, 9,616.68 and 2,947.50 is: 4,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.34 : 9,616.68 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    6,410.34/9,616.68 = 2,947.50/x
  3. Step 3: Cross multiply
    6,410.34x = 9,616.68 × 2,947.50
  4. Step 4: Simplify right side
    6,410.34x = 28,345,164.30
  5. Step 5: Solve for x
    x = 28,345,164.30/6,410.34
  6. Step 6: Final answer
    x = 4,421.79

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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.