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Finding the Fourth Proportional to 11,301, 16,951.70 and 4,284.28

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Solution

The fourth proportional to 11,301, 16,951.70 and 4,284.28 is: 6,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301 : 16,951.70 = 4,284.28 : x
  2. Step 2: Convert to fraction form
    11,301/16,951.70 = 4,284.28/x
  3. Step 3: Cross multiply
    11,301x = 16,951.70 × 4,284.28
  4. Step 4: Simplify right side
    11,301x = 72,625,829.28
  5. Step 5: Solve for x
    x = 72,625,829.28/11,301
  6. Step 6: Final answer
    x = 6,426.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.