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Finding the Fourth Proportional to 1,969.62, 2,953.70 and 653.13

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Solution

The fourth proportional to 1,969.62, 2,953.70 and 653.13 is: 979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.62 : 2,953.70 = 653.13 : x
  2. Step 2: Convert to fraction form
    1,969.62/2,953.70 = 653.13/x
  3. Step 3: Cross multiply
    1,969.62x = 2,953.70 × 653.13
  4. Step 4: Simplify right side
    1,969.62x = 1,929,146.82
  5. Step 5: Solve for x
    x = 1,929,146.82/1,969.62
  6. Step 6: Final answer
    x = 979.45

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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.