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Finding the Fourth Proportional to 4,630, 6,389.46 and 2,534.08

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Solution

The fourth proportional to 4,630, 6,389.46 and 2,534.08 is: 3,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630 : 6,389.46 = 2,534.08 : x
  2. Step 2: Convert to fraction form
    4,630/6,389.46 = 2,534.08/x
  3. Step 3: Cross multiply
    4,630x = 6,389.46 × 2,534.08
  4. Step 4: Simplify right side
    4,630x = 16,191,402.80
  5. Step 5: Solve for x
    x = 16,191,402.80/4,630
  6. Step 6: Final answer
    x = 3,497.06

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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.