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Finding the Fourth Proportional to 1,985.60, 2,740.14 and 1,101.42

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Solution

The fourth proportional to 1,985.60, 2,740.14 and 1,101.42 is: 1,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.60 : 2,740.14 = 1,101.42 : x
  2. Step 2: Convert to fraction form
    1,985.60/2,740.14 = 1,101.42/x
  3. Step 3: Cross multiply
    1,985.60x = 2,740.14 × 1,101.42
  4. Step 4: Simplify right side
    1,985.60x = 3,018,045.00
  5. Step 5: Solve for x
    x = 3,018,045.00/1,985.60
  6. Step 6: Final answer
    x = 1,519.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.