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Finding the Fourth Proportional to 21,927.60, 32,904.90 and 9,453.60

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Solution

The fourth proportional to 21,927.60, 32,904.90 and 9,453.60 is: 14,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.60 : 32,904.90 = 9,453.60 : x
  2. Step 2: Convert to fraction form
    21,927.60/32,904.90 = 9,453.60/x
  3. Step 3: Cross multiply
    21,927.60x = 32,904.90 × 9,453.60
  4. Step 4: Simplify right side
    21,927.60x = 311,069,762.64
  5. Step 5: Solve for x
    x = 311,069,762.64/21,927.60
  6. Step 6: Final answer
    x = 14,186.22

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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.