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Finding the Fourth Proportional to 11,977.02, 16,530.39 and 9,139.74

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Solution

The fourth proportional to 11,977.02, 16,530.39 and 9,139.74 is: 12,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.02 : 16,530.39 = 9,139.74 : x
  2. Step 2: Convert to fraction form
    11,977.02/16,530.39 = 9,139.74/x
  3. Step 3: Cross multiply
    11,977.02x = 16,530.39 × 9,139.74
  4. Step 4: Simplify right side
    11,977.02x = 151,083,466.70
  5. Step 5: Solve for x
    x = 151,083,466.70/11,977.02
  6. Step 6: Final answer
    x = 12,614.45

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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.