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Finding the Fourth Proportional to 6,423, 9,624.72 and 4,578

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Solution

The fourth proportional to 6,423, 9,624.72 and 4,578 is: 6,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423 : 9,624.72 = 4,578 : x
  2. Step 2: Convert to fraction form
    6,423/9,624.72 = 4,578/x
  3. Step 3: Cross multiply
    6,423x = 9,624.72 × 4,578
  4. Step 4: Simplify right side
    6,423x = 44,061,968.16
  5. Step 5: Solve for x
    x = 44,061,968.16/6,423
  6. Step 6: Final answer
    x = 6,860.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.