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Finding the Fourth Proportional to 14,347, 21,521.31 and 5,113

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Solution

The fourth proportional to 14,347, 21,521.31 and 5,113 is: 7,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347 : 21,521.31 = 5,113 : x
  2. Step 2: Convert to fraction form
    14,347/21,521.31 = 5,113/x
  3. Step 3: Cross multiply
    14,347x = 21,521.31 × 5,113
  4. Step 4: Simplify right side
    14,347x = 110,038,458.03
  5. Step 5: Solve for x
    x = 110,038,458.03/14,347
  6. Step 6: Final answer
    x = 7,669.79

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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.