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Finding the Fourth Proportional to 28,574.66, 42,862 and 12,996.74

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Solution

The fourth proportional to 28,574.66, 42,862 and 12,996.74 is: 19,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,574.66 : 42,862 = 12,996.74 : x
  2. Step 2: Convert to fraction form
    28,574.66/42,862 = 12,996.74/x
  3. Step 3: Cross multiply
    28,574.66x = 42,862 × 12,996.74
  4. Step 4: Simplify right side
    28,574.66x = 557,066,269.88
  5. Step 5: Solve for x
    x = 557,066,269.88/28,574.66
  6. Step 6: Final answer
    x = 19,495.11

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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.