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Finding the Fourth Proportional to 6,416.55, 8,854.62 and 3,583.90

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Solution

The fourth proportional to 6,416.55, 8,854.62 and 3,583.90 is: 4,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.55 : 8,854.62 = 3,583.90 : x
  2. Step 2: Convert to fraction form
    6,416.55/8,854.62 = 3,583.90/x
  3. Step 3: Cross multiply
    6,416.55x = 8,854.62 × 3,583.90
  4. Step 4: Simplify right side
    6,416.55x = 31,734,070.25
  5. Step 5: Solve for x
    x = 31,734,070.25/6,416.55
  6. Step 6: Final answer
    x = 4,945.66

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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.