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Finding the Fourth Proportional to 6,364.31, 8,782.85 and 3,569.81

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Solution

The fourth proportional to 6,364.31, 8,782.85 and 3,569.81 is: 4,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.31 : 8,782.85 = 3,569.81 : x
  2. Step 2: Convert to fraction form
    6,364.31/8,782.85 = 3,569.81/x
  3. Step 3: Cross multiply
    6,364.31x = 8,782.85 × 3,569.81
  4. Step 4: Simplify right side
    6,364.31x = 31,353,136.64
  5. Step 5: Solve for x
    x = 31,353,136.64/6,364.31
  6. Step 6: Final answer
    x = 4,926.40

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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.