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Finding the Fourth Proportional to 15,701, 21,652.50 and 10,313.96

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Solution

The fourth proportional to 15,701, 21,652.50 and 10,313.96 is: 14,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701 : 21,652.50 = 10,313.96 : x
  2. Step 2: Convert to fraction form
    15,701/21,652.50 = 10,313.96/x
  3. Step 3: Cross multiply
    15,701x = 21,652.50 × 10,313.96
  4. Step 4: Simplify right side
    15,701x = 223,323,018.90
  5. Step 5: Solve for x
    x = 223,323,018.90/15,701
  6. Step 6: Final answer
    x = 14,223.49

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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.