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Finding the Fourth Proportional to 9,885.90, 14,819.40 and 4,950.57

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Solution

The fourth proportional to 9,885.90, 14,819.40 and 4,950.57 is: 7,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.90 : 14,819.40 = 4,950.57 : x
  2. Step 2: Convert to fraction form
    9,885.90/14,819.40 = 4,950.57/x
  3. Step 3: Cross multiply
    9,885.90x = 14,819.40 × 4,950.57
  4. Step 4: Simplify right side
    9,885.90x = 73,364,477.06
  5. Step 5: Solve for x
    x = 73,364,477.06/9,885.90
  6. Step 6: Final answer
    x = 7,421.12

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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.