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Finding the Fourth Proportional to 7,146.08, 10,706.16 and 6,990.56

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Solution

The fourth proportional to 7,146.08, 10,706.16 and 6,990.56 is: 10,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.08 : 10,706.16 = 6,990.56 : x
  2. Step 2: Convert to fraction form
    7,146.08/10,706.16 = 6,990.56/x
  3. Step 3: Cross multiply
    7,146.08x = 10,706.16 × 6,990.56
  4. Step 4: Simplify right side
    7,146.08x = 74,842,053.85
  5. Step 5: Solve for x
    x = 74,842,053.85/7,146.08
  6. Step 6: Final answer
    x = 10,473.16

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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.