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Finding the Fourth Proportional to 5,222.40, 7,782.40 and 4,761.60

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Solution

The fourth proportional to 5,222.40, 7,782.40 and 4,761.60 is: 7,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.40 : 7,782.40 = 4,761.60 : x
  2. Step 2: Convert to fraction form
    5,222.40/7,782.40 = 4,761.60/x
  3. Step 3: Cross multiply
    5,222.40x = 7,782.40 × 4,761.60
  4. Step 4: Simplify right side
    5,222.40x = 37,056,675.84
  5. Step 5: Solve for x
    x = 37,056,675.84/5,222.40
  6. Step 6: Final answer
    x = 7,095.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.