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Finding the Fourth Proportional to 10,622.50, 15,941.38 and 8,567.34

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Solution

The fourth proportional to 10,622.50, 15,941.38 and 8,567.34 is: 12,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.50 : 15,941.38 = 8,567.34 : x
  2. Step 2: Convert to fraction form
    10,622.50/15,941.38 = 8,567.34/x
  3. Step 3: Cross multiply
    10,622.50x = 15,941.38 × 8,567.34
  4. Step 4: Simplify right side
    10,622.50x = 136,575,222.53
  5. Step 5: Solve for x
    x = 136,575,222.53/10,622.50
  6. Step 6: Final answer
    x = 12,857.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.