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Finding the Fourth Proportional to 25,172.56, 37,756.40 and 7,642.54

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Solution

The fourth proportional to 25,172.56, 37,756.40 and 7,642.54 is: 11,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172.56 : 37,756.40 = 7,642.54 : x
  2. Step 2: Convert to fraction form
    25,172.56/37,756.40 = 7,642.54/x
  3. Step 3: Cross multiply
    25,172.56x = 37,756.40 × 7,642.54
  4. Step 4: Simplify right side
    25,172.56x = 288,554,570.26
  5. Step 5: Solve for x
    x = 288,554,570.26/25,172.56
  6. Step 6: Final answer
    x = 11,463.06

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1.5x scale

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.