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Finding the Fourth Proportional to 21,477.70, 32,226.15 and 9,784.90

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Solution

The fourth proportional to 21,477.70, 32,226.15 and 9,784.90 is: 14,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.70 : 32,226.15 = 9,784.90 : x
  2. Step 2: Convert to fraction form
    21,477.70/32,226.15 = 9,784.90/x
  3. Step 3: Cross multiply
    21,477.70x = 32,226.15 × 9,784.90
  4. Step 4: Simplify right side
    21,477.70x = 315,329,655.14
  5. Step 5: Solve for x
    x = 315,329,655.14/21,477.70
  6. Step 6: Final answer
    x = 14,681.72

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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.