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Finding the Fourth Proportional to 13,097.75, 18,074.88 and 7,129.45

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Solution

The fourth proportional to 13,097.75, 18,074.88 and 7,129.45 is: 9,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.75 : 18,074.88 = 7,129.45 : x
  2. Step 2: Convert to fraction form
    13,097.75/18,074.88 = 7,129.45/x
  3. Step 3: Cross multiply
    13,097.75x = 18,074.88 × 7,129.45
  4. Step 4: Simplify right side
    13,097.75x = 128,863,975.81
  5. Step 5: Solve for x
    x = 128,863,975.81/13,097.75
  6. Step 6: Final answer
    x = 9,838.63

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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.