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Finding the Fourth Proportional to 4,430.52, 6,642.65 and 1,964.00

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Solution

The fourth proportional to 4,430.52, 6,642.65 and 1,964.00 is: 2,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.52 : 6,642.65 = 1,964.00 : x
  2. Step 2: Convert to fraction form
    4,430.52/6,642.65 = 1,964.00/x
  3. Step 3: Cross multiply
    4,430.52x = 6,642.65 × 1,964.00
  4. Step 4: Simplify right side
    4,430.52x = 13,046,121.57
  5. Step 5: Solve for x
    x = 13,046,121.57/4,430.52
  6. Step 6: Final answer
    x = 2,944.60

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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.