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Finding the Fourth Proportional to 11,428.81, 15,771.02 and 6,392.16

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Solution

The fourth proportional to 11,428.81, 15,771.02 and 6,392.16 is: 8,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.81 : 15,771.02 = 6,392.16 : x
  2. Step 2: Convert to fraction form
    11,428.81/15,771.02 = 6,392.16/x
  3. Step 3: Cross multiply
    11,428.81x = 15,771.02 × 6,392.16
  4. Step 4: Simplify right side
    11,428.81x = 100,810,875.21
  5. Step 5: Solve for x
    x = 100,810,875.21/11,428.81
  6. Step 6: Final answer
    x = 8,820.77

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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.