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Finding the Fourth Proportional to 4,670.76, 6,446.10 and 3,489.78

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Solution

The fourth proportional to 4,670.76, 6,446.10 and 3,489.78 is: 4,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.76 : 6,446.10 = 3,489.78 : x
  2. Step 2: Convert to fraction form
    4,670.76/6,446.10 = 3,489.78/x
  3. Step 3: Cross multiply
    4,670.76x = 6,446.10 × 3,489.78
  4. Step 4: Simplify right side
    4,670.76x = 22,495,421.18
  5. Step 5: Solve for x
    x = 22,495,421.18/4,670.76
  6. Step 6: Final answer
    x = 4,816.23

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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.