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Finding the Fourth Proportional to 21,528, 29,698.56 and 15,243.84

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Solution

The fourth proportional to 21,528, 29,698.56 and 15,243.84 is: 21,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528 : 29,698.56 = 15,243.84 : x
  2. Step 2: Convert to fraction form
    21,528/29,698.56 = 15,243.84/x
  3. Step 3: Cross multiply
    21,528x = 29,698.56 × 15,243.84
  4. Step 4: Simplify right side
    21,528x = 452,720,096.87
  5. Step 5: Solve for x
    x = 452,720,096.87/21,528
  6. Step 6: Final answer
    x = 21,029.36

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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.