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Finding the Fourth Proportional to 8,392.40, 12,580.60 and 3,126

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Solution

The fourth proportional to 8,392.40, 12,580.60 and 3,126 is: 4,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.40 : 12,580.60 = 3,126 : x
  2. Step 2: Convert to fraction form
    8,392.40/12,580.60 = 3,126/x
  3. Step 3: Cross multiply
    8,392.40x = 12,580.60 × 3,126
  4. Step 4: Simplify right side
    8,392.40x = 39,326,955.60
  5. Step 5: Solve for x
    x = 39,326,955.60/8,392.40
  6. Step 6: Final answer
    x = 4,686.02

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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.