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Finding the Fourth Proportional to 10,241.63, 15,348.15 and 7,740.76

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Solution

The fourth proportional to 10,241.63, 15,348.15 and 7,740.76 is: 11,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.63 : 15,348.15 = 7,740.76 : x
  2. Step 2: Convert to fraction form
    10,241.63/15,348.15 = 7,740.76/x
  3. Step 3: Cross multiply
    10,241.63x = 15,348.15 × 7,740.76
  4. Step 4: Simplify right side
    10,241.63x = 118,806,307.22
  5. Step 5: Solve for x
    x = 118,806,307.22/10,241.63
  6. Step 6: Final answer
    x = 11,600.34

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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.