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Finding the Fourth Proportional to 21,134, 31,703.16 and 7,283

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Solution

The fourth proportional to 21,134, 31,703.16 and 7,283 is: 10,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134 : 31,703.16 = 7,283 : x
  2. Step 2: Convert to fraction form
    21,134/31,703.16 = 7,283/x
  3. Step 3: Cross multiply
    21,134x = 31,703.16 × 7,283
  4. Step 4: Simplify right side
    21,134x = 230,894,114.28
  5. Step 5: Solve for x
    x = 230,894,114.28/21,134
  6. Step 6: Final answer
    x = 10,925.24

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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.