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Finding the Fourth Proportional to 12,378.50, 18,570.64 and 4,170.50

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Solution

The fourth proportional to 12,378.50, 18,570.64 and 4,170.50 is: 6,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.50 : 18,570.64 = 4,170.50 : x
  2. Step 2: Convert to fraction form
    12,378.50/18,570.64 = 4,170.50/x
  3. Step 3: Cross multiply
    12,378.50x = 18,570.64 × 4,170.50
  4. Step 4: Simplify right side
    12,378.50x = 77,448,854.12
  5. Step 5: Solve for x
    x = 77,448,854.12/12,378.50
  6. Step 6: Final answer
    x = 6,256.72

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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.