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Finding the Fourth Proportional to 1,985.93, 2,740.02 and 1,564.97

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Solution

The fourth proportional to 1,985.93, 2,740.02 and 1,564.97 is: 2,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.93 : 2,740.02 = 1,564.97 : x
  2. Step 2: Convert to fraction form
    1,985.93/2,740.02 = 1,564.97/x
  3. Step 3: Cross multiply
    1,985.93x = 2,740.02 × 1,564.97
  4. Step 4: Simplify right side
    1,985.93x = 4,288,049.10
  5. Step 5: Solve for x
    x = 4,288,049.10/1,985.93
  6. Step 6: Final answer
    x = 2,159.21

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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.