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Finding the Fourth Proportional to 2,970.36, 4,455.53 and 1,932.90

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Solution

The fourth proportional to 2,970.36, 4,455.53 and 1,932.90 is: 2,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.36 : 4,455.53 = 1,932.90 : x
  2. Step 2: Convert to fraction form
    2,970.36/4,455.53 = 1,932.90/x
  3. Step 3: Cross multiply
    2,970.36x = 4,455.53 × 1,932.90
  4. Step 4: Simplify right side
    2,970.36x = 8,612,084.27
  5. Step 5: Solve for x
    x = 8,612,084.27/2,970.36
  6. Step 6: Final answer
    x = 2,899.34

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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.