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Finding the Fourth Proportional to 14,144, 21,066.60 and 13,403.84

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Solution

The fourth proportional to 14,144, 21,066.60 and 13,403.84 is: 19,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144 : 21,066.60 = 13,403.84 : x
  2. Step 2: Convert to fraction form
    14,144/21,066.60 = 13,403.84/x
  3. Step 3: Cross multiply
    14,144x = 21,066.60 × 13,403.84
  4. Step 4: Simplify right side
    14,144x = 282,373,335.74
  5. Step 5: Solve for x
    x = 282,373,335.74/14,144
  6. Step 6: Final answer
    x = 19,964.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.