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Finding the Fourth Proportional to 7,070.83, 9,757.80 and 4,419.80

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Solution

The fourth proportional to 7,070.83, 9,757.80 and 4,419.80 is: 6,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.83 : 9,757.80 = 4,419.80 : x
  2. Step 2: Convert to fraction form
    7,070.83/9,757.80 = 4,419.80/x
  3. Step 3: Cross multiply
    7,070.83x = 9,757.80 × 4,419.80
  4. Step 4: Simplify right side
    7,070.83x = 43,127,512.24
  5. Step 5: Solve for x
    x = 43,127,512.24/7,070.83
  6. Step 6: Final answer
    x = 6,099.36

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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.