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Finding the Fourth Proportional to 31,775.36, 47,663.40 and 10,994

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Solution

The fourth proportional to 31,775.36, 47,663.40 and 10,994 is: 16,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.36 : 47,663.40 = 10,994 : x
  2. Step 2: Convert to fraction form
    31,775.36/47,663.40 = 10,994/x
  3. Step 3: Cross multiply
    31,775.36x = 47,663.40 × 10,994
  4. Step 4: Simplify right side
    31,775.36x = 524,011,419.60
  5. Step 5: Solve for x
    x = 524,011,419.60/31,775.36
  6. Step 6: Final answer
    x = 16,491.12

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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.