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Finding the Fourth Proportional to 6,364.96, 8,782.32 and 3,570.40

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Solution

The fourth proportional to 6,364.96, 8,782.32 and 3,570.40 is: 4,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.96 : 8,782.32 = 3,570.40 : x
  2. Step 2: Convert to fraction form
    6,364.96/8,782.32 = 3,570.40/x
  3. Step 3: Cross multiply
    6,364.96x = 8,782.32 × 3,570.40
  4. Step 4: Simplify right side
    6,364.96x = 31,356,395.33
  5. Step 5: Solve for x
    x = 31,356,395.33/6,364.96
  6. Step 6: Final answer
    x = 4,926.41

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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.