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Finding the Fourth Proportional to 12,860.42, 19,323 and 8,182.53

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Solution

The fourth proportional to 12,860.42, 19,323 and 8,182.53 is: 12,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.42 : 19,323 = 8,182.53 : x
  2. Step 2: Convert to fraction form
    12,860.42/19,323 = 8,182.53/x
  3. Step 3: Cross multiply
    12,860.42x = 19,323 × 8,182.53
  4. Step 4: Simplify right side
    12,860.42x = 158,111,027.19
  5. Step 5: Solve for x
    x = 158,111,027.19/12,860.42
  6. Step 6: Final answer
    x = 12,294.40

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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.