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Finding the Fourth Proportional to 11,378.88, 15,715.01 and 10,142.01

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Solution

The fourth proportional to 11,378.88, 15,715.01 and 10,142.01 is: 14,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.88 : 15,715.01 = 10,142.01 : x
  2. Step 2: Convert to fraction form
    11,378.88/15,715.01 = 10,142.01/x
  3. Step 3: Cross multiply
    11,378.88x = 15,715.01 × 10,142.01
  4. Step 4: Simplify right side
    11,378.88x = 159,381,813.93
  5. Step 5: Solve for x
    x = 159,381,813.93/11,378.88
  6. Step 6: Final answer
    x = 14,006.81

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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.