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Finding the Fourth Proportional to 9,777.82, 14,666.76 and 6,869.12

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Solution

The fourth proportional to 9,777.82, 14,666.76 and 6,869.12 is: 10,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.82 : 14,666.76 = 6,869.12 : x
  2. Step 2: Convert to fraction form
    9,777.82/14,666.76 = 6,869.12/x
  3. Step 3: Cross multiply
    9,777.82x = 14,666.76 × 6,869.12
  4. Step 4: Simplify right side
    9,777.82x = 100,747,734.45
  5. Step 5: Solve for x
    x = 100,747,734.45/9,777.82
  6. Step 6: Final answer
    x = 10,303.70

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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.