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Finding the Fourth Proportional to 10,955.76, 15,131.52 and 7,984.86

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Solution

The fourth proportional to 10,955.76, 15,131.52 and 7,984.86 is: 11,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.76 : 15,131.52 = 7,984.86 : x
  2. Step 2: Convert to fraction form
    10,955.76/15,131.52 = 7,984.86/x
  3. Step 3: Cross multiply
    10,955.76x = 15,131.52 × 7,984.86
  4. Step 4: Simplify right side
    10,955.76x = 120,823,068.79
  5. Step 5: Solve for x
    x = 120,823,068.79/10,955.76
  6. Step 6: Final answer
    x = 11,028.27

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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.