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Finding the Fourth Proportional to 8,407.19, 11,603.86 and 4,821.42

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Solution

The fourth proportional to 8,407.19, 11,603.86 and 4,821.42 is: 6,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.19 : 11,603.86 = 4,821.42 : x
  2. Step 2: Convert to fraction form
    8,407.19/11,603.86 = 4,821.42/x
  3. Step 3: Cross multiply
    8,407.19x = 11,603.86 × 4,821.42
  4. Step 4: Simplify right side
    8,407.19x = 55,947,114.14
  5. Step 5: Solve for x
    x = 55,947,114.14/8,407.19
  6. Step 6: Final answer
    x = 6,654.67

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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.