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Finding the Fourth Proportional to 14,477.23, 19,978.79 and 8,812.21

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Solution

The fourth proportional to 14,477.23, 19,978.79 and 8,812.21 is: 12,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.23 : 19,978.79 = 8,812.21 : x
  2. Step 2: Convert to fraction form
    14,477.23/19,978.79 = 8,812.21/x
  3. Step 3: Cross multiply
    14,477.23x = 19,978.79 × 8,812.21
  4. Step 4: Simplify right side
    14,477.23x = 176,057,248.96
  5. Step 5: Solve for x
    x = 176,057,248.96/14,477.23
  6. Step 6: Final answer
    x = 12,160.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.