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Finding the Fourth Proportional to 9,790.68, 14,680.50 and 3,215.10

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Solution

The fourth proportional to 9,790.68, 14,680.50 and 3,215.10 is: 4,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.68 : 14,680.50 = 3,215.10 : x
  2. Step 2: Convert to fraction form
    9,790.68/14,680.50 = 3,215.10/x
  3. Step 3: Cross multiply
    9,790.68x = 14,680.50 × 3,215.10
  4. Step 4: Simplify right side
    9,790.68x = 47,199,275.55
  5. Step 5: Solve for x
    x = 47,199,275.55/9,790.68
  6. Step 6: Final answer
    x = 4,820.84

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