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Finding the Fourth Proportional to 21,165, 31,749.08 and 7,124.98

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Solution

The fourth proportional to 21,165, 31,749.08 and 7,124.98 is: 10,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165 : 31,749.08 = 7,124.98 : x
  2. Step 2: Convert to fraction form
    21,165/31,749.08 = 7,124.98/x
  3. Step 3: Cross multiply
    21,165x = 31,749.08 × 7,124.98
  4. Step 4: Simplify right side
    21,165x = 226,211,560.02
  5. Step 5: Solve for x
    x = 226,211,560.02/21,165
  6. Step 6: Final answer
    x = 10,688.00

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1.5x scale

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.