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Finding the Fourth Proportional to 11,889.90, 16,407.78 and 6,854.10

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Solution

The fourth proportional to 11,889.90, 16,407.78 and 6,854.10 is: 9,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.90 : 16,407.78 = 6,854.10 : x
  2. Step 2: Convert to fraction form
    11,889.90/16,407.78 = 6,854.10/x
  3. Step 3: Cross multiply
    11,889.90x = 16,407.78 × 6,854.10
  4. Step 4: Simplify right side
    11,889.90x = 112,460,564.90
  5. Step 5: Solve for x
    x = 112,460,564.90/11,889.90
  6. Step 6: Final answer
    x = 9,458.50

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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.