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Finding the Fourth Proportional to 7,317.12, 10,978.12 and 4,861.60

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Solution

The fourth proportional to 7,317.12, 10,978.12 and 4,861.60 is: 7,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.12 : 10,978.12 = 4,861.60 : x
  2. Step 2: Convert to fraction form
    7,317.12/10,978.12 = 4,861.60/x
  3. Step 3: Cross multiply
    7,317.12x = 10,978.12 × 4,861.60
  4. Step 4: Simplify right side
    7,317.12x = 53,371,228.19
  5. Step 5: Solve for x
    x = 53,371,228.19/7,317.12
  6. Step 6: Final answer
    x = 7,294.02

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1.5x scale

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.