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Finding the Fourth Proportional to 1,985.15, 2,740.50 and 1,388.18

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Solution

The fourth proportional to 1,985.15, 2,740.50 and 1,388.18 is: 1,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.15 : 2,740.50 = 1,388.18 : x
  2. Step 2: Convert to fraction form
    1,985.15/2,740.50 = 1,388.18/x
  3. Step 3: Cross multiply
    1,985.15x = 2,740.50 × 1,388.18
  4. Step 4: Simplify right side
    1,985.15x = 3,804,293.59
  5. Step 5: Solve for x
    x = 3,804,293.59/1,985.15
  6. Step 6: Final answer
    x = 1,916.38

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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.