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Finding the Fourth Proportional to 21,742.95, 32,620.20 and 9,263.70

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Solution

The fourth proportional to 21,742.95, 32,620.20 and 9,263.70 is: 13,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.95 : 32,620.20 = 9,263.70 : x
  2. Step 2: Convert to fraction form
    21,742.95/32,620.20 = 9,263.70/x
  3. Step 3: Cross multiply
    21,742.95x = 32,620.20 × 9,263.70
  4. Step 4: Simplify right side
    21,742.95x = 302,183,746.74
  5. Step 5: Solve for x
    x = 302,183,746.74/21,742.95
  6. Step 6: Final answer
    x = 13,898.01

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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.