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Finding the Fourth Proportional to 29,316, 43,974 and 12,900

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Solution

The fourth proportional to 29,316, 43,974 and 12,900 is: 19,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316 : 43,974 = 12,900 : x
  2. Step 2: Convert to fraction form
    29,316/43,974 = 12,900/x
  3. Step 3: Cross multiply
    29,316x = 43,974 × 12,900
  4. Step 4: Simplify right side
    29,316x = 567,264,600
  5. Step 5: Solve for x
    x = 567,264,600/29,316
  6. Step 6: Final answer
    x = 19,350

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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.