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Finding the Fourth Proportional to 10,950.40, 16,512.64 and 9,740.80

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Solution

The fourth proportional to 10,950.40, 16,512.64 and 9,740.80 is: 14,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.40 : 16,512.64 = 9,740.80 : x
  2. Step 2: Convert to fraction form
    10,950.40/16,512.64 = 9,740.80/x
  3. Step 3: Cross multiply
    10,950.40x = 16,512.64 × 9,740.80
  4. Step 4: Simplify right side
    10,950.40x = 160,846,323.71
  5. Step 5: Solve for x
    x = 160,846,323.71/10,950.40
  6. Step 6: Final answer
    x = 14,688.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.