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Finding the Fourth Proportional to 1,953.49, 2,695.81 and 1,069.29

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Solution

The fourth proportional to 1,953.49, 2,695.81 and 1,069.29 is: 1,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.49 : 2,695.81 = 1,069.29 : x
  2. Step 2: Convert to fraction form
    1,953.49/2,695.81 = 1,069.29/x
  3. Step 3: Cross multiply
    1,953.49x = 2,695.81 × 1,069.29
  4. Step 4: Simplify right side
    1,953.49x = 2,882,602.67
  5. Step 5: Solve for x
    x = 2,882,602.67/1,953.49
  6. Step 6: Final answer
    x = 1,475.62

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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.