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Finding the Fourth Proportional to 1,965.47, 2,710.35 and 1,368.68

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Solution

The fourth proportional to 1,965.47, 2,710.35 and 1,368.68 is: 1,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.47 : 2,710.35 = 1,368.68 : x
  2. Step 2: Convert to fraction form
    1,965.47/2,710.35 = 1,368.68/x
  3. Step 3: Cross multiply
    1,965.47x = 2,710.35 × 1,368.68
  4. Step 4: Simplify right side
    1,965.47x = 3,709,588.29
  5. Step 5: Solve for x
    x = 3,709,588.29/1,965.47
  6. Step 6: Final answer
    x = 1,887.38

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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.