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Finding the Fourth Proportional to 15,697.17, 21,653.04 and 9,405.90

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Solution

The fourth proportional to 15,697.17, 21,653.04 and 9,405.90 is: 12,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.17 : 21,653.04 = 9,405.90 : x
  2. Step 2: Convert to fraction form
    15,697.17/21,653.04 = 9,405.90/x
  3. Step 3: Cross multiply
    15,697.17x = 21,653.04 × 9,405.90
  4. Step 4: Simplify right side
    15,697.17x = 203,666,328.94
  5. Step 5: Solve for x
    x = 203,666,328.94/15,697.17
  6. Step 6: Final answer
    x = 12,974.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.