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Finding the Fourth Proportional to 28,309, 42,463.61 and 8,587.73

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Solution

The fourth proportional to 28,309, 42,463.61 and 8,587.73 is: 12,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,309 : 42,463.61 = 8,587.73 : x
  2. Step 2: Convert to fraction form
    28,309/42,463.61 = 8,587.73/x
  3. Step 3: Cross multiply
    28,309x = 42,463.61 × 8,587.73
  4. Step 4: Simplify right side
    28,309x = 364,666,017.51
  5. Step 5: Solve for x
    x = 364,666,017.51/28,309
  6. Step 6: Final answer
    x = 12,881.63

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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.