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Finding the Fourth Proportional to 1,854.90, 2,783.16 and 989

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Solution

The fourth proportional to 1,854.90, 2,783.16 and 989 is: 1,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.90 : 2,783.16 = 989 : x
  2. Step 2: Convert to fraction form
    1,854.90/2,783.16 = 989/x
  3. Step 3: Cross multiply
    1,854.90x = 2,783.16 × 989
  4. Step 4: Simplify right side
    1,854.90x = 2,752,545.24
  5. Step 5: Solve for x
    x = 2,752,545.24/1,854.90
  6. Step 6: Final answer
    x = 1,483.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.