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Finding the Fourth Proportional to 20,752, 28,637.76 and 13,300

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Solution

The fourth proportional to 20,752, 28,637.76 and 13,300 is: 18,354

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752 : 28,637.76 = 13,300 : x
  2. Step 2: Convert to fraction form
    20,752/28,637.76 = 13,300/x
  3. Step 3: Cross multiply
    20,752x = 28,637.76 × 13,300
  4. Step 4: Simplify right side
    20,752x = 380,882,208
  5. Step 5: Solve for x
    x = 380,882,208/20,752
  6. Step 6: Final answer
    x = 18,354

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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.