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Finding the Fourth Proportional to 11,886.70, 16,417.41 and 7,900.90

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Solution

The fourth proportional to 11,886.70, 16,417.41 and 7,900.90 is: 10,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.70 : 16,417.41 = 7,900.90 : x
  2. Step 2: Convert to fraction form
    11,886.70/16,417.41 = 7,900.90/x
  3. Step 3: Cross multiply
    11,886.70x = 16,417.41 × 7,900.90
  4. Step 4: Simplify right side
    11,886.70x = 129,712,314.67
  5. Step 5: Solve for x
    x = 129,712,314.67/11,886.70
  6. Step 6: Final answer
    x = 10,912.39

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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.