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Finding the Fourth Proportional to 28,441, 42,661.52 and 9,973

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Solution

The fourth proportional to 28,441, 42,661.52 and 9,973 is: 14,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,441 : 42,661.52 = 9,973 : x
  2. Step 2: Convert to fraction form
    28,441/42,661.52 = 9,973/x
  3. Step 3: Cross multiply
    28,441x = 42,661.52 × 9,973
  4. Step 4: Simplify right side
    28,441x = 425,463,338.96
  5. Step 5: Solve for x
    x = 425,463,338.96/28,441
  6. Step 6: Final answer
    x = 14,959.51

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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.