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Finding the Fourth Proportional to 6,500, 8,970.12 and 4,640.24

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Solution

The fourth proportional to 6,500, 8,970.12 and 4,640.24 is: 6,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 8,970.12 = 4,640.24 : x
  2. Step 2: Convert to fraction form
    6,500/8,970.12 = 4,640.24/x
  3. Step 3: Cross multiply
    6,500x = 8,970.12 × 4,640.24
  4. Step 4: Simplify right side
    6,500x = 41,623,509.63
  5. Step 5: Solve for x
    x = 41,623,509.63/6,500
  6. Step 6: Final answer
    x = 6,403.62

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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.