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Finding the Fourth Proportional to 7,141.02, 9,873.42 and 6,254.28

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Solution

The fourth proportional to 7,141.02, 9,873.42 and 6,254.28 is: 8,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.02 : 9,873.42 = 6,254.28 : x
  2. Step 2: Convert to fraction form
    7,141.02/9,873.42 = 6,254.28/x
  3. Step 3: Cross multiply
    7,141.02x = 9,873.42 × 6,254.28
  4. Step 4: Simplify right side
    7,141.02x = 61,751,109.78
  5. Step 5: Solve for x
    x = 61,751,109.78/7,141.02
  6. Step 6: Final answer
    x = 8,647.38

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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.