Home / 31,777.36-47,666.40-10,996

Finding the Fourth Proportional to 31,777.36, 47,666.40 and 10,996

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Solution

The fourth proportional to 31,777.36, 47,666.40 and 10,996 is: 16,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.36 : 47,666.40 = 10,996 : x
  2. Step 2: Convert to fraction form
    31,777.36/47,666.40 = 10,996/x
  3. Step 3: Cross multiply
    31,777.36x = 47,666.40 × 10,996
  4. Step 4: Simplify right side
    31,777.36x = 524,139,734.40
  5. Step 5: Solve for x
    x = 524,139,734.40/31,777.36
  6. Step 6: Final answer
    x = 16,494.12

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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.