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Finding the Fourth Proportional to 7,110.70, 10,666.05 and 6,822.70

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Solution

The fourth proportional to 7,110.70, 10,666.05 and 6,822.70 is: 10,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.70 : 10,666.05 = 6,822.70 : x
  2. Step 2: Convert to fraction form
    7,110.70/10,666.05 = 6,822.70/x
  3. Step 3: Cross multiply
    7,110.70x = 10,666.05 × 6,822.70
  4. Step 4: Simplify right side
    7,110.70x = 72,771,259.34
  5. Step 5: Solve for x
    x = 72,771,259.34/7,110.70
  6. Step 6: Final answer
    x = 10,234.05

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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.