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Finding the Fourth Proportional to 7,172.15, 9,893.57 and 6,664.74

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Solution

The fourth proportional to 7,172.15, 9,893.57 and 6,664.74 is: 9,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.15 : 9,893.57 = 6,664.74 : x
  2. Step 2: Convert to fraction form
    7,172.15/9,893.57 = 6,664.74/x
  3. Step 3: Cross multiply
    7,172.15x = 9,893.57 × 6,664.74
  4. Step 4: Simplify right side
    7,172.15x = 65,938,038.40
  5. Step 5: Solve for x
    x = 65,938,038.40/7,172.15
  6. Step 6: Final answer
    x = 9,193.63

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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.