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Finding the Fourth Proportional to 2,690.88, 4,032.96 and 957.60

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Solution

The fourth proportional to 2,690.88, 4,032.96 and 957.60 is: 1,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.88 : 4,032.96 = 957.60 : x
  2. Step 2: Convert to fraction form
    2,690.88/4,032.96 = 957.60/x
  3. Step 3: Cross multiply
    2,690.88x = 4,032.96 × 957.60
  4. Step 4: Simplify right side
    2,690.88x = 3,861,962.50
  5. Step 5: Solve for x
    x = 3,861,962.50/2,690.88
  6. Step 6: Final answer
    x = 1,435.20

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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.