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Finding the Fourth Proportional to 4,752.70, 7,129.05 and 1,289.95

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Solution

The fourth proportional to 4,752.70, 7,129.05 and 1,289.95 is: 1,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.70 : 7,129.05 = 1,289.95 : x
  2. Step 2: Convert to fraction form
    4,752.70/7,129.05 = 1,289.95/x
  3. Step 3: Cross multiply
    4,752.70x = 7,129.05 × 1,289.95
  4. Step 4: Simplify right side
    4,752.70x = 9,196,100.22
  5. Step 5: Solve for x
    x = 9,196,100.22/4,752.70
  6. Step 6: Final answer
    x = 1,934.92

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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.