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Finding the Fourth Proportional to 11,459.60, 15,813.06 and 6,743.60

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Solution

The fourth proportional to 11,459.60, 15,813.06 and 6,743.60 is: 9,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.60 : 15,813.06 = 6,743.60 : x
  2. Step 2: Convert to fraction form
    11,459.60/15,813.06 = 6,743.60/x
  3. Step 3: Cross multiply
    11,459.60x = 15,813.06 × 6,743.60
  4. Step 4: Simplify right side
    11,459.60x = 106,636,951.42
  5. Step 5: Solve for x
    x = 106,636,951.42/11,459.60
  6. Step 6: Final answer
    x = 9,305.47

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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.