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Finding the Fourth Proportional to 13,097.12, 18,073.12 and 7,792.32

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Solution

The fourth proportional to 13,097.12, 18,073.12 and 7,792.32 is: 10,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.12 : 18,073.12 = 7,792.32 : x
  2. Step 2: Convert to fraction form
    13,097.12/18,073.12 = 7,792.32/x
  3. Step 3: Cross multiply
    13,097.12x = 18,073.12 × 7,792.32
  4. Step 4: Simplify right side
    13,097.12x = 140,831,534.44
  5. Step 5: Solve for x
    x = 140,831,534.44/13,097.12
  6. Step 6: Final answer
    x = 10,752.86

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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.