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Finding the Fourth Proportional to 1,356.02, 1,869.93 and 1,206.17

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Solution

The fourth proportional to 1,356.02, 1,869.93 and 1,206.17 is: 1,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.02 : 1,869.93 = 1,206.17 : x
  2. Step 2: Convert to fraction form
    1,356.02/1,869.93 = 1,206.17/x
  3. Step 3: Cross multiply
    1,356.02x = 1,869.93 × 1,206.17
  4. Step 4: Simplify right side
    1,356.02x = 2,255,444.12
  5. Step 5: Solve for x
    x = 2,255,444.12/1,356.02
  6. Step 6: Final answer
    x = 1,663.29

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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.