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Finding the Fourth Proportional to 14,137.92, 19,510.70 and 7,764.93

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Solution

The fourth proportional to 14,137.92, 19,510.70 and 7,764.93 is: 10,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.92 : 19,510.70 = 7,764.93 : x
  2. Step 2: Convert to fraction form
    14,137.92/19,510.70 = 7,764.93/x
  3. Step 3: Cross multiply
    14,137.92x = 19,510.70 × 7,764.93
  4. Step 4: Simplify right side
    14,137.92x = 151,499,219.75
  5. Step 5: Solve for x
    x = 151,499,219.75/14,137.92
  6. Step 6: Final answer
    x = 10,715.81

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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.