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Finding the Fourth Proportional to 15,817.60, 21,827.18 and 8,744.28

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Solution

The fourth proportional to 15,817.60, 21,827.18 and 8,744.28 is: 12,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.60 : 21,827.18 = 8,744.28 : x
  2. Step 2: Convert to fraction form
    15,817.60/21,827.18 = 8,744.28/x
  3. Step 3: Cross multiply
    15,817.60x = 21,827.18 × 8,744.28
  4. Step 4: Simplify right side
    15,817.60x = 190,862,973.53
  5. Step 5: Solve for x
    x = 190,862,973.53/15,817.60
  6. Step 6: Final answer
    x = 12,066.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.