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Finding the Fourth Proportional to 8,407.16, 11,604.30 and 5,620.76

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Solution

The fourth proportional to 8,407.16, 11,604.30 and 5,620.76 is: 7,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.16 : 11,604.30 = 5,620.76 : x
  2. Step 2: Convert to fraction form
    8,407.16/11,604.30 = 5,620.76/x
  3. Step 3: Cross multiply
    8,407.16x = 11,604.30 × 5,620.76
  4. Step 4: Simplify right side
    8,407.16x = 65,224,985.27
  5. Step 5: Solve for x
    x = 65,224,985.27/8,407.16
  6. Step 6: Final answer
    x = 7,758.27

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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.