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Finding the Fourth Proportional to 12,583.90, 18,860.64 and 7,031.44

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Solution

The fourth proportional to 12,583.90, 18,860.64 and 7,031.44 is: 10,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.90 : 18,860.64 = 7,031.44 : x
  2. Step 2: Convert to fraction form
    12,583.90/18,860.64 = 7,031.44/x
  3. Step 3: Cross multiply
    12,583.90x = 18,860.64 × 7,031.44
  4. Step 4: Simplify right side
    12,583.90x = 132,617,458.52
  5. Step 5: Solve for x
    x = 132,617,458.52/12,583.90
  6. Step 6: Final answer
    x = 10,538.66

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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.