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Finding the Fourth Proportional to 14,380, 21,572.16 and 5,148.16

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Solution

The fourth proportional to 14,380, 21,572.16 and 5,148.16 is: 7,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380 : 21,572.16 = 5,148.16 : x
  2. Step 2: Convert to fraction form
    14,380/21,572.16 = 5,148.16/x
  3. Step 3: Cross multiply
    14,380x = 21,572.16 × 5,148.16
  4. Step 4: Simplify right side
    14,380x = 111,056,931.23
  5. Step 5: Solve for x
    x = 111,056,931.23/14,380
  6. Step 6: Final answer
    x = 7,723.01

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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.