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Finding the Fourth Proportional to 29,314, 43,971 and 7,426

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Solution

The fourth proportional to 29,314, 43,971 and 7,426 is: 11,139

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314 : 43,971 = 7,426 : x
  2. Step 2: Convert to fraction form
    29,314/43,971 = 7,426/x
  3. Step 3: Cross multiply
    29,314x = 43,971 × 7,426
  4. Step 4: Simplify right side
    29,314x = 326,528,646
  5. Step 5: Solve for x
    x = 326,528,646/29,314
  6. Step 6: Final answer
    x = 11,139

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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.