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Finding the Fourth Proportional to 14,447.84, 19,938.29 and 8,160.21

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Solution

The fourth proportional to 14,447.84, 19,938.29 and 8,160.21 is: 11,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.84 : 19,938.29 = 8,160.21 : x
  2. Step 2: Convert to fraction form
    14,447.84/19,938.29 = 8,160.21/x
  3. Step 3: Cross multiply
    14,447.84x = 19,938.29 × 8,160.21
  4. Step 4: Simplify right side
    14,447.84x = 162,700,592.64
  5. Step 5: Solve for x
    x = 162,700,592.64/14,447.84
  6. Step 6: Final answer
    x = 11,261.24

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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.