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Finding the Fourth Proportional to 2,919.02, 4,376.90 and 970.16

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Solution

The fourth proportional to 2,919.02, 4,376.90 and 970.16 is: 1,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.02 : 4,376.90 = 970.16 : x
  2. Step 2: Convert to fraction form
    2,919.02/4,376.90 = 970.16/x
  3. Step 3: Cross multiply
    2,919.02x = 4,376.90 × 970.16
  4. Step 4: Simplify right side
    2,919.02x = 4,246,293.30
  5. Step 5: Solve for x
    x = 4,246,293.30/2,919.02
  6. Step 6: Final answer
    x = 1,454.70

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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.