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Finding the Fourth Proportional to 10,770.99, 14,861.93 and 6,295.38

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Solution

The fourth proportional to 10,770.99, 14,861.93 and 6,295.38 is: 8,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.99 : 14,861.93 = 6,295.38 : x
  2. Step 2: Convert to fraction form
    10,770.99/14,861.93 = 6,295.38/x
  3. Step 3: Cross multiply
    10,770.99x = 14,861.93 × 6,295.38
  4. Step 4: Simplify right side
    10,770.99x = 93,561,465.41
  5. Step 5: Solve for x
    x = 93,561,465.41/10,770.99
  6. Step 6: Final answer
    x = 8,686.43

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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.