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Finding the Fourth Proportional to 2,702.86, 4,055.04 and 853.93

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Solution

The fourth proportional to 2,702.86, 4,055.04 and 853.93 is: 1,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.86 : 4,055.04 = 853.93 : x
  2. Step 2: Convert to fraction form
    2,702.86/4,055.04 = 853.93/x
  3. Step 3: Cross multiply
    2,702.86x = 4,055.04 × 853.93
  4. Step 4: Simplify right side
    2,702.86x = 3,462,720.31
  5. Step 5: Solve for x
    x = 3,462,720.31/2,702.86
  6. Step 6: Final answer
    x = 1,281.13

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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.