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Finding the Fourth Proportional to 10,602.98, 15,906.96 and 3,207.50

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Solution

The fourth proportional to 10,602.98, 15,906.96 and 3,207.50 is: 4,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.98 : 15,906.96 = 3,207.50 : x
  2. Step 2: Convert to fraction form
    10,602.98/15,906.96 = 3,207.50/x
  3. Step 3: Cross multiply
    10,602.98x = 15,906.96 × 3,207.50
  4. Step 4: Simplify right side
    10,602.98x = 51,021,494.67
  5. Step 5: Solve for x
    x = 51,021,494.67/10,602.98
  6. Step 6: Final answer
    x = 4,812.00

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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.