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Finding the Fourth Proportional to 7,666.80, 10,586.14 and 6,181.80

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Solution

The fourth proportional to 7,666.80, 10,586.14 and 6,181.80 is: 8,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.80 : 10,586.14 = 6,181.80 : x
  2. Step 2: Convert to fraction form
    7,666.80/10,586.14 = 6,181.80/x
  3. Step 3: Cross multiply
    7,666.80x = 10,586.14 × 6,181.80
  4. Step 4: Simplify right side
    7,666.80x = 65,441,384.80
  5. Step 5: Solve for x
    x = 65,441,384.80/7,666.80
  6. Step 6: Final answer
    x = 8,535.68

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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.