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Finding the Fourth Proportional to 11,777.40, 17,666.10 and 8,278.20

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Solution

The fourth proportional to 11,777.40, 17,666.10 and 8,278.20 is: 12,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.40 : 17,666.10 = 8,278.20 : x
  2. Step 2: Convert to fraction form
    11,777.40/17,666.10 = 8,278.20/x
  3. Step 3: Cross multiply
    11,777.40x = 17,666.10 × 8,278.20
  4. Step 4: Simplify right side
    11,777.40x = 146,243,509.02
  5. Step 5: Solve for x
    x = 146,243,509.02/11,777.40
  6. Step 6: Final answer
    x = 12,417.30

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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.