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Finding the Fourth Proportional to 5,470.88, 8,206.40 and 4,647.12

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Solution

The fourth proportional to 5,470.88, 8,206.40 and 4,647.12 is: 6,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.88 : 8,206.40 = 4,647.12 : x
  2. Step 2: Convert to fraction form
    5,470.88/8,206.40 = 4,647.12/x
  3. Step 3: Cross multiply
    5,470.88x = 8,206.40 × 4,647.12
  4. Step 4: Simplify right side
    5,470.88x = 38,136,125.57
  5. Step 5: Solve for x
    x = 38,136,125.57/5,470.88
  6. Step 6: Final answer
    x = 6,970.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.