Home / 22,974.72-31,680-15,509.76

Finding the Fourth Proportional to 22,974.72, 31,680 and 15,509.76

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Solution

The fourth proportional to 22,974.72, 31,680 and 15,509.76 is: 21,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.72 : 31,680 = 15,509.76 : x
  2. Step 2: Convert to fraction form
    22,974.72/31,680 = 15,509.76/x
  3. Step 3: Cross multiply
    22,974.72x = 31,680 × 15,509.76
  4. Step 4: Simplify right side
    22,974.72x = 491,349,196.80
  5. Step 5: Solve for x
    x = 491,349,196.80/22,974.72
  6. Step 6: Final answer
    x = 21,386.52

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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.