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Finding the Fourth Proportional to 2,702.90, 4,055.15 and 853.94

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Solution

The fourth proportional to 2,702.90, 4,055.15 and 853.94 is: 1,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.90 : 4,055.15 = 853.94 : x
  2. Step 2: Convert to fraction form
    2,702.90/4,055.15 = 853.94/x
  3. Step 3: Cross multiply
    2,702.90x = 4,055.15 × 853.94
  4. Step 4: Simplify right side
    2,702.90x = 3,462,854.79
  5. Step 5: Solve for x
    x = 3,462,854.79/2,702.90
  6. Step 6: Final answer
    x = 1,281.16

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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.