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Finding the Fourth Proportional to 1,632.63, 2,252.68 and 969.70

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Solution

The fourth proportional to 1,632.63, 2,252.68 and 969.70 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.63 : 2,252.68 = 969.70 : x
  2. Step 2: Convert to fraction form
    1,632.63/2,252.68 = 969.70/x
  3. Step 3: Cross multiply
    1,632.63x = 2,252.68 × 969.70
  4. Step 4: Simplify right side
    1,632.63x = 2,184,423.80
  5. Step 5: Solve for x
    x = 2,184,423.80/1,632.63
  6. Step 6: Final answer
    x = 1,337.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.