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Finding the Fourth Proportional to 10,491.60, 15,708.60 and 8,187.60

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Solution

The fourth proportional to 10,491.60, 15,708.60 and 8,187.60 is: 12,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.60 : 15,708.60 = 8,187.60 : x
  2. Step 2: Convert to fraction form
    10,491.60/15,708.60 = 8,187.60/x
  3. Step 3: Cross multiply
    10,491.60x = 15,708.60 × 8,187.60
  4. Step 4: Simplify right side
    10,491.60x = 128,615,733.36
  5. Step 5: Solve for x
    x = 128,615,733.36/10,491.60
  6. Step 6: Final answer
    x = 12,258.92

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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.