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Finding the Fourth Proportional to 37,752, 52,097.76 and 20,988.24

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Solution

The fourth proportional to 37,752, 52,097.76 and 20,988.24 is: 28,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752 : 52,097.76 = 20,988.24 : x
  2. Step 2: Convert to fraction form
    37,752/52,097.76 = 20,988.24/x
  3. Step 3: Cross multiply
    37,752x = 52,097.76 × 20,988.24
  4. Step 4: Simplify right side
    37,752x = 1,093,440,290.34
  5. Step 5: Solve for x
    x = 1,093,440,290.34/37,752
  6. Step 6: Final answer
    x = 28,963.77

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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.