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Finding the Fourth Proportional to 6,506.96, 8,970.32 and 4,640.72

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Solution

The fourth proportional to 6,506.96, 8,970.32 and 4,640.72 is: 6,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.96 : 8,970.32 = 4,640.72 : x
  2. Step 2: Convert to fraction form
    6,506.96/8,970.32 = 4,640.72/x
  3. Step 3: Cross multiply
    6,506.96x = 8,970.32 × 4,640.72
  4. Step 4: Simplify right side
    6,506.96x = 41,628,743.43
  5. Step 5: Solve for x
    x = 41,628,743.43/6,506.96
  6. Step 6: Final answer
    x = 6,397.57

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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.