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Finding the Fourth Proportional to 10,777.46, 14,880.21 and 7,945.16

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Solution

The fourth proportional to 10,777.46, 14,880.21 and 7,945.16 is: 10,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.46 : 14,880.21 = 7,945.16 : x
  2. Step 2: Convert to fraction form
    10,777.46/14,880.21 = 7,945.16/x
  3. Step 3: Cross multiply
    10,777.46x = 14,880.21 × 7,945.16
  4. Step 4: Simplify right side
    10,777.46x = 118,225,649.28
  5. Step 5: Solve for x
    x = 118,225,649.28/10,777.46
  6. Step 6: Final answer
    x = 10,969.71

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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.