Home / 31,338-47,009.43-10,561.50

Finding the Fourth Proportional to 31,338, 47,009.43 and 10,561.50

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Solution

The fourth proportional to 31,338, 47,009.43 and 10,561.50 is: 15,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,338 : 47,009.43 = 10,561.50 : x
  2. Step 2: Convert to fraction form
    31,338/47,009.43 = 10,561.50/x
  3. Step 3: Cross multiply
    31,338x = 47,009.43 × 10,561.50
  4. Step 4: Simplify right side
    31,338x = 496,490,094.95
  5. Step 5: Solve for x
    x = 496,490,094.95/31,338
  6. Step 6: Final answer
    x = 15,843.07

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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.