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Finding the Fourth Proportional to 30,870, 46,312.76 and 8,982

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Solution

The fourth proportional to 30,870, 46,312.76 and 8,982 is: 13,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870 : 46,312.76 = 8,982 : x
  2. Step 2: Convert to fraction form
    30,870/46,312.76 = 8,982/x
  3. Step 3: Cross multiply
    30,870x = 46,312.76 × 8,982
  4. Step 4: Simplify right side
    30,870x = 415,981,210.32
  5. Step 5: Solve for x
    x = 415,981,210.32/30,870
  6. Step 6: Final answer
    x = 13,475.26

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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.