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Finding the Fourth Proportional to 1,309.90, 1,959.99 and 1,295.32

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Solution

The fourth proportional to 1,309.90, 1,959.99 and 1,295.32 is: 1,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.90 : 1,959.99 = 1,295.32 : x
  2. Step 2: Convert to fraction form
    1,309.90/1,959.99 = 1,295.32/x
  3. Step 3: Cross multiply
    1,309.90x = 1,959.99 × 1,295.32
  4. Step 4: Simplify right side
    1,309.90x = 2,538,814.25
  5. Step 5: Solve for x
    x = 2,538,814.25/1,309.90
  6. Step 6: Final answer
    x = 1,938.17

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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.