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Finding the Fourth Proportional to 2,702.10, 4,050.70 and 970.32

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Solution

The fourth proportional to 2,702.10, 4,050.70 and 970.32 is: 1,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.10 : 4,050.70 = 970.32 : x
  2. Step 2: Convert to fraction form
    2,702.10/4,050.70 = 970.32/x
  3. Step 3: Cross multiply
    2,702.10x = 4,050.70 × 970.32
  4. Step 4: Simplify right side
    2,702.10x = 3,930,475.22
  5. Step 5: Solve for x
    x = 3,930,475.22/2,702.10
  6. Step 6: Final answer
    x = 1,454.60

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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.