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Finding the Fourth Proportional to 7,102.80, 10,643.40 and 6,001.20

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Solution

The fourth proportional to 7,102.80, 10,643.40 and 6,001.20 is: 8,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.80 : 10,643.40 = 6,001.20 : x
  2. Step 2: Convert to fraction form
    7,102.80/10,643.40 = 6,001.20/x
  3. Step 3: Cross multiply
    7,102.80x = 10,643.40 × 6,001.20
  4. Step 4: Simplify right side
    7,102.80x = 63,873,172.08
  5. Step 5: Solve for x
    x = 63,873,172.08/7,102.80
  6. Step 6: Final answer
    x = 8,992.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.