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Finding the Fourth Proportional to 8,312.40, 12,470.40 and 3,047.19

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Solution

The fourth proportional to 8,312.40, 12,470.40 and 3,047.19 is: 4,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.40 : 12,470.40 = 3,047.19 : x
  2. Step 2: Convert to fraction form
    8,312.40/12,470.40 = 3,047.19/x
  3. Step 3: Cross multiply
    8,312.40x = 12,470.40 × 3,047.19
  4. Step 4: Simplify right side
    8,312.40x = 37,999,678.18
  5. Step 5: Solve for x
    x = 37,999,678.18/8,312.40
  6. Step 6: Final answer
    x = 4,571.44

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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.