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Finding the Fourth Proportional to 2,702.60, 4,051.45 and 970.82

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Solution

The fourth proportional to 2,702.60, 4,051.45 and 970.82 is: 1,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.60 : 4,051.45 = 970.82 : x
  2. Step 2: Convert to fraction form
    2,702.60/4,051.45 = 970.82/x
  3. Step 3: Cross multiply
    2,702.60x = 4,051.45 × 970.82
  4. Step 4: Simplify right side
    2,702.60x = 3,933,228.69
  5. Step 5: Solve for x
    x = 3,933,228.69/2,702.60
  6. Step 6: Final answer
    x = 1,455.35

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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.