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Finding the Fourth Proportional to 7,773.60, 10,728 and 4,416.72

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Solution

The fourth proportional to 7,773.60, 10,728 and 4,416.72 is: 6,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.60 : 10,728 = 4,416.72 : x
  2. Step 2: Convert to fraction form
    7,773.60/10,728 = 4,416.72/x
  3. Step 3: Cross multiply
    7,773.60x = 10,728 × 4,416.72
  4. Step 4: Simplify right side
    7,773.60x = 47,382,572.16
  5. Step 5: Solve for x
    x = 47,382,572.16/7,773.60
  6. Step 6: Final answer
    x = 6,095.32

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1.5x scale

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.