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Finding the Fourth Proportional to 4,969.78, 7,454.63 and 1,272.00

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Solution

The fourth proportional to 4,969.78, 7,454.63 and 1,272.00 is: 1,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.78 : 7,454.63 = 1,272.00 : x
  2. Step 2: Convert to fraction form
    4,969.78/7,454.63 = 1,272.00/x
  3. Step 3: Cross multiply
    4,969.78x = 7,454.63 × 1,272.00
  4. Step 4: Simplify right side
    4,969.78x = 9,482,320.49
  5. Step 5: Solve for x
    x = 9,482,320.49/4,969.78
  6. Step 6: Final answer
    x = 1,908.00

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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.