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Finding the Fourth Proportional to 22,752, 31,406.40 and 15,304.32

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Solution

The fourth proportional to 22,752, 31,406.40 and 15,304.32 is: 21,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752 : 31,406.40 = 15,304.32 : x
  2. Step 2: Convert to fraction form
    22,752/31,406.40 = 15,304.32/x
  3. Step 3: Cross multiply
    22,752x = 31,406.40 × 15,304.32
  4. Step 4: Simplify right side
    22,752x = 480,653,595.65
  5. Step 5: Solve for x
    x = 480,653,595.65/22,752
  6. Step 6: Final answer
    x = 21,125.77

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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.