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Finding the Fourth Proportional to 6,364.80, 8,783.28 and 3,570

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Solution

The fourth proportional to 6,364.80, 8,783.28 and 3,570 is: 4,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.80 : 8,783.28 = 3,570 : x
  2. Step 2: Convert to fraction form
    6,364.80/8,783.28 = 3,570/x
  3. Step 3: Cross multiply
    6,364.80x = 8,783.28 × 3,570
  4. Step 4: Simplify right side
    6,364.80x = 31,356,309.60
  5. Step 5: Solve for x
    x = 31,356,309.60/6,364.80
  6. Step 6: Final answer
    x = 4,926.52

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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.