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Finding the Fourth Proportional to 28,970.13, 39,978.77 and 15,722.13

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Solution

The fourth proportional to 28,970.13, 39,978.77 and 15,722.13 is: 21,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,970.13 : 39,978.77 = 15,722.13 : x
  2. Step 2: Convert to fraction form
    28,970.13/39,978.77 = 15,722.13/x
  3. Step 3: Cross multiply
    28,970.13x = 39,978.77 × 15,722.13
  4. Step 4: Simplify right side
    28,970.13x = 628,551,419.18
  5. Step 5: Solve for x
    x = 628,551,419.18/28,970.13
  6. Step 6: Final answer
    x = 21,696.53

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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.