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Finding the Fourth Proportional to 3,188.28, 4,782.42 and 2,955

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Solution

The fourth proportional to 3,188.28, 4,782.42 and 2,955 is: 4,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.28 : 4,782.42 = 2,955 : x
  2. Step 2: Convert to fraction form
    3,188.28/4,782.42 = 2,955/x
  3. Step 3: Cross multiply
    3,188.28x = 4,782.42 × 2,955
  4. Step 4: Simplify right side
    3,188.28x = 14,132,051.10
  5. Step 5: Solve for x
    x = 14,132,051.10/3,188.28
  6. Step 6: Final answer
    x = 4,432.50

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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.