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Finding the Fourth Proportional to 13,008.40, 17,946.76 and 8,291.60

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Solution

The fourth proportional to 13,008.40, 17,946.76 and 8,291.60 is: 11,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.40 : 17,946.76 = 8,291.60 : x
  2. Step 2: Convert to fraction form
    13,008.40/17,946.76 = 8,291.60/x
  3. Step 3: Cross multiply
    13,008.40x = 17,946.76 × 8,291.60
  4. Step 4: Simplify right side
    13,008.40x = 148,807,355.22
  5. Step 5: Solve for x
    x = 148,807,355.22/13,008.40
  6. Step 6: Final answer
    x = 11,439.33

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Similar ratio
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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.