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Finding the Fourth Proportional to 21,428.68, 32,138.16 and 7,577.68

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Solution

The fourth proportional to 21,428.68, 32,138.16 and 7,577.68 is: 11,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.68 : 32,138.16 = 7,577.68 : x
  2. Step 2: Convert to fraction form
    21,428.68/32,138.16 = 7,577.68/x
  3. Step 3: Cross multiply
    21,428.68x = 32,138.16 × 7,577.68
  4. Step 4: Simplify right side
    21,428.68x = 243,532,692.27
  5. Step 5: Solve for x
    x = 243,532,692.27/21,428.68
  6. Step 6: Final answer
    x = 11,364.80

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1.5x scale

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.