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Finding the Fourth Proportional to 28,637.22, 42,929.90 and 10,164.90

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Solution

The fourth proportional to 28,637.22, 42,929.90 and 10,164.90 is: 15,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,637.22 : 42,929.90 = 10,164.90 : x
  2. Step 2: Convert to fraction form
    28,637.22/42,929.90 = 10,164.90/x
  3. Step 3: Cross multiply
    28,637.22x = 42,929.90 × 10,164.90
  4. Step 4: Simplify right side
    28,637.22x = 436,378,140.51
  5. Step 5: Solve for x
    x = 436,378,140.51/28,637.22
  6. Step 6: Final answer
    x = 15,238.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.