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Finding the Fourth Proportional to 4,221.76, 6,332.49 and 1,300

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Solution

The fourth proportional to 4,221.76, 6,332.49 and 1,300 is: 1,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.76 : 6,332.49 = 1,300 : x
  2. Step 2: Convert to fraction form
    4,221.76/6,332.49 = 1,300/x
  3. Step 3: Cross multiply
    4,221.76x = 6,332.49 × 1,300
  4. Step 4: Simplify right side
    4,221.76x = 8,232,237
  5. Step 5: Solve for x
    x = 8,232,237/4,221.76
  6. Step 6: Final answer
    x = 1,949.95

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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.