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Finding the Fourth Proportional to 7,820.78, 11,702.34 and 4,702.68

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Solution

The fourth proportional to 7,820.78, 11,702.34 and 4,702.68 is: 7,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.78 : 11,702.34 = 4,702.68 : x
  2. Step 2: Convert to fraction form
    7,820.78/11,702.34 = 4,702.68/x
  3. Step 3: Cross multiply
    7,820.78x = 11,702.34 × 4,702.68
  4. Step 4: Simplify right side
    7,820.78x = 55,032,360.27
  5. Step 5: Solve for x
    x = 55,032,360.27/7,820.78
  6. Step 6: Final answer
    x = 7,036.69

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1.5x scale

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.