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Finding the Fourth Proportional to 11,161.99, 15,403.80 and 6,913.74

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Solution

The fourth proportional to 11,161.99, 15,403.80 and 6,913.74 is: 9,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.99 : 15,403.80 = 6,913.74 : x
  2. Step 2: Convert to fraction form
    11,161.99/15,403.80 = 6,913.74/x
  3. Step 3: Cross multiply
    11,161.99x = 15,403.80 × 6,913.74
  4. Step 4: Simplify right side
    11,161.99x = 106,497,865.26
  5. Step 5: Solve for x
    x = 106,497,865.26/11,161.99
  6. Step 6: Final answer
    x = 9,541.12

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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.