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Finding the Fourth Proportional to 6,239, 8,602.80 and 5,101.12

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Solution

The fourth proportional to 6,239, 8,602.80 and 5,101.12 is: 7,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239 : 8,602.80 = 5,101.12 : x
  2. Step 2: Convert to fraction form
    6,239/8,602.80 = 5,101.12/x
  3. Step 3: Cross multiply
    6,239x = 8,602.80 × 5,101.12
  4. Step 4: Simplify right side
    6,239x = 43,883,915.14
  5. Step 5: Solve for x
    x = 43,883,915.14/6,239
  6. Step 6: Final answer
    x = 7,033.81

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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.