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Finding the Fourth Proportional to 13,551.76, 18,701.78 and 7,583.38

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Solution

The fourth proportional to 13,551.76, 18,701.78 and 7,583.38 is: 10,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551.76 : 18,701.78 = 7,583.38 : x
  2. Step 2: Convert to fraction form
    13,551.76/18,701.78 = 7,583.38/x
  3. Step 3: Cross multiply
    13,551.76x = 18,701.78 × 7,583.38
  4. Step 4: Simplify right side
    13,551.76x = 141,822,704.42
  5. Step 5: Solve for x
    x = 141,822,704.42/13,551.76
  6. Step 6: Final answer
    x = 10,465.26

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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.