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Finding the Fourth Proportional to 28,862, 43,293 and 6,974

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Solution

The fourth proportional to 28,862, 43,293 and 6,974 is: 10,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,862 : 43,293 = 6,974 : x
  2. Step 2: Convert to fraction form
    28,862/43,293 = 6,974/x
  3. Step 3: Cross multiply
    28,862x = 43,293 × 6,974
  4. Step 4: Simplify right side
    28,862x = 301,925,382
  5. Step 5: Solve for x
    x = 301,925,382/28,862
  6. Step 6: Final answer
    x = 10,461

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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.