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Finding the Fourth Proportional to 13,574.49, 18,734.64 and 7,607.42

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Solution

The fourth proportional to 13,574.49, 18,734.64 and 7,607.42 is: 10,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.49 : 18,734.64 = 7,607.42 : x
  2. Step 2: Convert to fraction form
    13,574.49/18,734.64 = 7,607.42/x
  3. Step 3: Cross multiply
    13,574.49x = 18,734.64 × 7,607.42
  4. Step 4: Simplify right side
    13,574.49x = 142,522,275.03
  5. Step 5: Solve for x
    x = 142,522,275.03/13,574.49
  6. Step 6: Final answer
    x = 10,499.27

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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.