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Finding the Fourth Proportional to 4,970.79, 7,456.14 and 1,272.99

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Solution

The fourth proportional to 4,970.79, 7,456.14 and 1,272.99 is: 1,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.79 : 7,456.14 = 1,272.99 : x
  2. Step 2: Convert to fraction form
    4,970.79/7,456.14 = 1,272.99/x
  3. Step 3: Cross multiply
    4,970.79x = 7,456.14 × 1,272.99
  4. Step 4: Simplify right side
    4,970.79x = 9,491,591.66
  5. Step 5: Solve for x
    x = 9,491,591.66/4,970.79
  6. Step 6: Final answer
    x = 1,909.47

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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.