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Finding the Fourth Proportional to 11,407.15, 15,749.63 and 7,383.70

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Solution

The fourth proportional to 11,407.15, 15,749.63 and 7,383.70 is: 10,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.15 : 15,749.63 = 7,383.70 : x
  2. Step 2: Convert to fraction form
    11,407.15/15,749.63 = 7,383.70/x
  3. Step 3: Cross multiply
    11,407.15x = 15,749.63 × 7,383.70
  4. Step 4: Simplify right side
    11,407.15x = 116,290,543.03
  5. Step 5: Solve for x
    x = 116,290,543.03/11,407.15
  6. Step 6: Final answer
    x = 10,194.53

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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.