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Finding the Fourth Proportional to 14,480, 21,720.24 and 5,714.84

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Solution

The fourth proportional to 14,480, 21,720.24 and 5,714.84 is: 8,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480 : 21,720.24 = 5,714.84 : x
  2. Step 2: Convert to fraction form
    14,480/21,720.24 = 5,714.84/x
  3. Step 3: Cross multiply
    14,480x = 21,720.24 × 5,714.84
  4. Step 4: Simplify right side
    14,480x = 124,127,696.36
  5. Step 5: Solve for x
    x = 124,127,696.36/14,480
  6. Step 6: Final answer
    x = 8,572.35

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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.