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Finding the Fourth Proportional to 11,530.60, 15,911.58 and 6,815.32

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Solution

The fourth proportional to 11,530.60, 15,911.58 and 6,815.32 is: 9,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.60 : 15,911.58 = 6,815.32 : x
  2. Step 2: Convert to fraction form
    11,530.60/15,911.58 = 6,815.32/x
  3. Step 3: Cross multiply
    11,530.60x = 15,911.58 × 6,815.32
  4. Step 4: Simplify right side
    11,530.60x = 108,442,509.41
  5. Step 5: Solve for x
    x = 108,442,509.41/11,530.60
  6. Step 6: Final answer
    x = 9,404.76

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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.