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Finding the Fourth Proportional to 9,762, 14,638.41 and 4,211.88

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Solution

The fourth proportional to 9,762, 14,638.41 and 4,211.88 is: 6,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762 : 14,638.41 = 4,211.88 : x
  2. Step 2: Convert to fraction form
    9,762/14,638.41 = 4,211.88/x
  3. Step 3: Cross multiply
    9,762x = 14,638.41 × 4,211.88
  4. Step 4: Simplify right side
    9,762x = 61,655,226.31
  5. Step 5: Solve for x
    x = 61,655,226.31/9,762
  6. Step 6: Final answer
    x = 6,315.84

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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.