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Finding the Fourth Proportional to 11,931.60, 16,464.60 and 7,215.60

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Solution

The fourth proportional to 11,931.60, 16,464.60 and 7,215.60 is: 9,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.60 : 16,464.60 = 7,215.60 : x
  2. Step 2: Convert to fraction form
    11,931.60/16,464.60 = 7,215.60/x
  3. Step 3: Cross multiply
    11,931.60x = 16,464.60 × 7,215.60
  4. Step 4: Simplify right side
    11,931.60x = 118,801,967.76
  5. Step 5: Solve for x
    x = 118,801,967.76/11,931.60
  6. Step 6: Final answer
    x = 9,956.92

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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.