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Finding the Fourth Proportional to 13,041.60, 17,997.76 and 7,740.80

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Solution

The fourth proportional to 13,041.60, 17,997.76 and 7,740.80 is: 10,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.60 : 17,997.76 = 7,740.80 : x
  2. Step 2: Convert to fraction form
    13,041.60/17,997.76 = 7,740.80/x
  3. Step 3: Cross multiply
    13,041.60x = 17,997.76 × 7,740.80
  4. Step 4: Simplify right side
    13,041.60x = 139,317,060.61
  5. Step 5: Solve for x
    x = 139,317,060.61/13,041.60
  6. Step 6: Final answer
    x = 10,682.51

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1.5x scale

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.