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Finding the Fourth Proportional to 10,606.41, 15,894.57 and 7,811.16

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Solution

The fourth proportional to 10,606.41, 15,894.57 and 7,811.16 is: 11,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.41 : 15,894.57 = 7,811.16 : x
  2. Step 2: Convert to fraction form
    10,606.41/15,894.57 = 7,811.16/x
  3. Step 3: Cross multiply
    10,606.41x = 15,894.57 × 7,811.16
  4. Step 4: Simplify right side
    10,606.41x = 124,155,029.40
  5. Step 5: Solve for x
    x = 124,155,029.40/10,606.41
  6. Step 6: Final answer
    x = 11,705.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.