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Finding the Fourth Proportional to 28,896, 39,876.48 and 15,648

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Solution

The fourth proportional to 28,896, 39,876.48 and 15,648 is: 21,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,896 : 39,876.48 = 15,648 : x
  2. Step 2: Convert to fraction form
    28,896/39,876.48 = 15,648/x
  3. Step 3: Cross multiply
    28,896x = 39,876.48 × 15,648
  4. Step 4: Simplify right side
    28,896x = 623,987,159.04
  5. Step 5: Solve for x
    x = 623,987,159.04/28,896
  6. Step 6: Final answer
    x = 21,594.24

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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.