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Finding the Fourth Proportional to 14,287.68, 21,431.16 and 3,899.16

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Solution

The fourth proportional to 14,287.68, 21,431.16 and 3,899.16 is: 5,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.68 : 21,431.16 = 3,899.16 : x
  2. Step 2: Convert to fraction form
    14,287.68/21,431.16 = 3,899.16/x
  3. Step 3: Cross multiply
    14,287.68x = 21,431.16 × 3,899.16
  4. Step 4: Simplify right side
    14,287.68x = 83,563,521.83
  5. Step 5: Solve for x
    x = 83,563,521.83/14,287.68
  6. Step 6: Final answer
    x = 5,848.64

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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.