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Finding the Fourth Proportional to 1,854.90, 2,783.17 and 977.19

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Solution

The fourth proportional to 1,854.90, 2,783.17 and 977.19 is: 1,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.90 : 2,783.17 = 977.19 : x
  2. Step 2: Convert to fraction form
    1,854.90/2,783.17 = 977.19/x
  3. Step 3: Cross multiply
    1,854.90x = 2,783.17 × 977.19
  4. Step 4: Simplify right side
    1,854.90x = 2,719,671.98
  5. Step 5: Solve for x
    x = 2,719,671.98/1,854.90
  6. Step 6: Final answer
    x = 1,466.21

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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.