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Finding the Fourth Proportional to 43,287.21, 64,931.22 and 13,705.20

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Solution

The fourth proportional to 43,287.21, 64,931.22 and 13,705.20 is: 20,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,287.21 : 64,931.22 = 13,705.20 : x
  2. Step 2: Convert to fraction form
    43,287.21/64,931.22 = 13,705.20/x
  3. Step 3: Cross multiply
    43,287.21x = 64,931.22 × 13,705.20
  4. Step 4: Simplify right side
    43,287.21x = 889,895,356.34
  5. Step 5: Solve for x
    x = 889,895,356.34/43,287.21
  6. Step 6: Final answer
    x = 20,557.93

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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.