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Finding the Fourth Proportional to 6,417.74, 9,629.64 and 4,446.40

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Solution

The fourth proportional to 6,417.74, 9,629.64 and 4,446.40 is: 6,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.74 : 9,629.64 = 4,446.40 : x
  2. Step 2: Convert to fraction form
    6,417.74/9,629.64 = 4,446.40/x
  3. Step 3: Cross multiply
    6,417.74x = 9,629.64 × 4,446.40
  4. Step 4: Simplify right side
    6,417.74x = 42,817,231.30
  5. Step 5: Solve for x
    x = 42,817,231.30/6,417.74
  6. Step 6: Final answer
    x = 6,671.70

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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.