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Finding the Fourth Proportional to 14,460.81, 21,685.74 and 7,883.42

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Solution

The fourth proportional to 14,460.81, 21,685.74 and 7,883.42 is: 11,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.81 : 21,685.74 = 7,883.42 : x
  2. Step 2: Convert to fraction form
    14,460.81/21,685.74 = 7,883.42/x
  3. Step 3: Cross multiply
    14,460.81x = 21,685.74 × 7,883.42
  4. Step 4: Simplify right side
    14,460.81x = 170,957,688.00
  5. Step 5: Solve for x
    x = 170,957,688.00/14,460.81
  6. Step 6: Final answer
    x = 11,822.14

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1.5x scale

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.