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Finding the Fourth Proportional to 7,029.60, 9,702.48 and 4,936.80

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Solution

The fourth proportional to 7,029.60, 9,702.48 and 4,936.80 is: 6,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.60 : 9,702.48 = 4,936.80 : x
  2. Step 2: Convert to fraction form
    7,029.60/9,702.48 = 4,936.80/x
  3. Step 3: Cross multiply
    7,029.60x = 9,702.48 × 4,936.80
  4. Step 4: Simplify right side
    7,029.60x = 47,899,203.26
  5. Step 5: Solve for x
    x = 47,899,203.26/7,029.60
  6. Step 6: Final answer
    x = 6,813.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.