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Finding the Fourth Proportional to 6,285.60, 8,683.20 and 5,767.20

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Solution

The fourth proportional to 6,285.60, 8,683.20 and 5,767.20 is: 7,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.60 : 8,683.20 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    6,285.60/8,683.20 = 5,767.20/x
  3. Step 3: Cross multiply
    6,285.60x = 8,683.20 × 5,767.20
  4. Step 4: Simplify right side
    6,285.60x = 50,077,751.04
  5. Step 5: Solve for x
    x = 50,077,751.04/6,285.60
  6. Step 6: Final answer
    x = 7,967.06

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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.