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Finding the Fourth Proportional to 7,154.74, 9,878.34 and 4,470.05

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Solution

The fourth proportional to 7,154.74, 9,878.34 and 4,470.05 is: 6,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.74 : 9,878.34 = 4,470.05 : x
  2. Step 2: Convert to fraction form
    7,154.74/9,878.34 = 4,470.05/x
  3. Step 3: Cross multiply
    7,154.74x = 9,878.34 × 4,470.05
  4. Step 4: Simplify right side
    7,154.74x = 44,156,601.98
  5. Step 5: Solve for x
    x = 44,156,601.98/7,154.74
  6. Step 6: Final answer
    x = 6,171.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.