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Finding the Fourth Proportional to 12,711, 19,064.14 and 5,313.46

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Solution

The fourth proportional to 12,711, 19,064.14 and 5,313.46 is: 7,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 19,064.14 = 5,313.46 : x
  2. Step 2: Convert to fraction form
    12,711/19,064.14 = 5,313.46/x
  3. Step 3: Cross multiply
    12,711x = 19,064.14 × 5,313.46
  4. Step 4: Simplify right side
    12,711x = 101,296,545.32
  5. Step 5: Solve for x
    x = 101,296,545.32/12,711
  6. Step 6: Final answer
    x = 7,969.20

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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.