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Finding the Fourth Proportional to 2,702.09, 4,053.33 and 946.89

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Solution

The fourth proportional to 2,702.09, 4,053.33 and 946.89 is: 1,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.09 : 4,053.33 = 946.89 : x
  2. Step 2: Convert to fraction form
    2,702.09/4,053.33 = 946.89/x
  3. Step 3: Cross multiply
    2,702.09x = 4,053.33 × 946.89
  4. Step 4: Simplify right side
    2,702.09x = 3,838,057.64
  5. Step 5: Solve for x
    x = 3,838,057.64/2,702.09
  6. Step 6: Final answer
    x = 1,420.40

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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.