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Finding the Fourth Proportional to 2,917.40, 4,376.81 and 969.62

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Solution

The fourth proportional to 2,917.40, 4,376.81 and 969.62 is: 1,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.40 : 4,376.81 = 969.62 : x
  2. Step 2: Convert to fraction form
    2,917.40/4,376.81 = 969.62/x
  3. Step 3: Cross multiply
    2,917.40x = 4,376.81 × 969.62
  4. Step 4: Simplify right side
    2,917.40x = 4,243,823.05
  5. Step 5: Solve for x
    x = 4,243,823.05/2,917.40
  6. Step 6: Final answer
    x = 1,454.66

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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.