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Finding the Fourth Proportional to 11,785.53, 16,264.28 and 6,480.64

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Solution

The fourth proportional to 11,785.53, 16,264.28 and 6,480.64 is: 8,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.53 : 16,264.28 = 6,480.64 : x
  2. Step 2: Convert to fraction form
    11,785.53/16,264.28 = 6,480.64/x
  3. Step 3: Cross multiply
    11,785.53x = 16,264.28 × 6,480.64
  4. Step 4: Simplify right side
    11,785.53x = 105,402,829.81
  5. Step 5: Solve for x
    x = 105,402,829.81/11,785.53
  6. Step 6: Final answer
    x = 8,943.41

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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.