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Finding the Fourth Proportional to 10,503.68, 15,747.21 and 7,206.98

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Solution

The fourth proportional to 10,503.68, 15,747.21 and 7,206.98 is: 10,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.68 : 15,747.21 = 7,206.98 : x
  2. Step 2: Convert to fraction form
    10,503.68/15,747.21 = 7,206.98/x
  3. Step 3: Cross multiply
    10,503.68x = 15,747.21 × 7,206.98
  4. Step 4: Simplify right side
    10,503.68x = 113,489,748.79
  5. Step 5: Solve for x
    x = 113,489,748.79/10,503.68
  6. Step 6: Final answer
    x = 10,804.77

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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.