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Finding the Fourth Proportional to 4,639, 6,401.88 and 2,543.20

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Solution

The fourth proportional to 4,639, 6,401.88 and 2,543.20 is: 3,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639 : 6,401.88 = 2,543.20 : x
  2. Step 2: Convert to fraction form
    4,639/6,401.88 = 2,543.20/x
  3. Step 3: Cross multiply
    4,639x = 6,401.88 × 2,543.20
  4. Step 4: Simplify right side
    4,639x = 16,281,261.22
  5. Step 5: Solve for x
    x = 16,281,261.22/4,639
  6. Step 6: Final answer
    x = 3,509.65

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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.