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Finding the Fourth Proportional to 28,912, 39,898.56 and 15,664

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Solution

The fourth proportional to 28,912, 39,898.56 and 15,664 is: 21,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,912 : 39,898.56 = 15,664 : x
  2. Step 2: Convert to fraction form
    28,912/39,898.56 = 15,664/x
  3. Step 3: Cross multiply
    28,912x = 39,898.56 × 15,664
  4. Step 4: Simplify right side
    28,912x = 624,971,043.84
  5. Step 5: Solve for x
    x = 624,971,043.84/28,912
  6. Step 6: Final answer
    x = 21,616.32

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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.