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Finding the Fourth Proportional to 11,513.80, 15,889.40 and 6,477.90

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Solution

The fourth proportional to 11,513.80, 15,889.40 and 6,477.90 is: 8,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.80 : 15,889.40 = 6,477.90 : x
  2. Step 2: Convert to fraction form
    11,513.80/15,889.40 = 6,477.90/x
  3. Step 3: Cross multiply
    11,513.80x = 15,889.40 × 6,477.90
  4. Step 4: Simplify right side
    11,513.80x = 102,929,944.26
  5. Step 5: Solve for x
    x = 102,929,944.26/11,513.80
  6. Step 6: Final answer
    x = 8,939.70

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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.