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Finding the Fourth Proportional to 9,366.66, 12,921.93 and 5,638.50

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Solution

The fourth proportional to 9,366.66, 12,921.93 and 5,638.50 is: 7,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.66 : 12,921.93 = 5,638.50 : x
  2. Step 2: Convert to fraction form
    9,366.66/12,921.93 = 5,638.50/x
  3. Step 3: Cross multiply
    9,366.66x = 12,921.93 × 5,638.50
  4. Step 4: Simplify right side
    9,366.66x = 72,860,302.31
  5. Step 5: Solve for x
    x = 72,860,302.31/9,366.66
  6. Step 6: Final answer
    x = 7,778.69

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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.