Home / 22,752-31,403.52-12,821.76

Finding the Fourth Proportional to 22,752, 31,403.52 and 12,821.76

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Solution

The fourth proportional to 22,752, 31,403.52 and 12,821.76 is: 17,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752 : 31,403.52 = 12,821.76 : x
  2. Step 2: Convert to fraction form
    22,752/31,403.52 = 12,821.76/x
  3. Step 3: Cross multiply
    22,752x = 31,403.52 × 12,821.76
  4. Step 4: Simplify right side
    22,752x = 402,648,396.60
  5. Step 5: Solve for x
    x = 402,648,396.60/22,752
  6. Step 6: Final answer
    x = 17,697.27

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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.