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Finding the Fourth Proportional to 7,280.50, 10,047.90 and 4,486

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Solution

The fourth proportional to 7,280.50, 10,047.90 and 4,486 is: 6,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.50 : 10,047.90 = 4,486 : x
  2. Step 2: Convert to fraction form
    7,280.50/10,047.90 = 4,486/x
  3. Step 3: Cross multiply
    7,280.50x = 10,047.90 × 4,486
  4. Step 4: Simplify right side
    7,280.50x = 45,074,879.40
  5. Step 5: Solve for x
    x = 45,074,879.40/7,280.50
  6. Step 6: Final answer
    x = 6,191.18

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Why These Related Problems?

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