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Finding the Fourth Proportional to 11,908.60, 16,429.98 and 7,430.20

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Solution

The fourth proportional to 11,908.60, 16,429.98 and 7,430.20 is: 10,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.60 : 16,429.98 = 7,430.20 : x
  2. Step 2: Convert to fraction form
    11,908.60/16,429.98 = 7,430.20/x
  3. Step 3: Cross multiply
    11,908.60x = 16,429.98 × 7,430.20
  4. Step 4: Simplify right side
    11,908.60x = 122,078,037.40
  5. Step 5: Solve for x
    x = 122,078,037.40/11,908.60
  6. Step 6: Final answer
    x = 10,251.25

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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.