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Finding the Fourth Proportional to 1,770, 2,442.71 and 984.11

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Solution

The fourth proportional to 1,770, 2,442.71 and 984.11 is: 1,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770 : 2,442.71 = 984.11 : x
  2. Step 2: Convert to fraction form
    1,770/2,442.71 = 984.11/x
  3. Step 3: Cross multiply
    1,770x = 2,442.71 × 984.11
  4. Step 4: Simplify right side
    1,770x = 2,403,878.20
  5. Step 5: Solve for x
    x = 2,403,878.20/1,770
  6. Step 6: Final answer
    x = 1,358.12

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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.