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Finding the Fourth Proportional to 14,573.84, 20,102.51 and 8,605.15

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Solution

The fourth proportional to 14,573.84, 20,102.51 and 8,605.15 is: 11,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.84 : 20,102.51 = 8,605.15 : x
  2. Step 2: Convert to fraction form
    14,573.84/20,102.51 = 8,605.15/x
  3. Step 3: Cross multiply
    14,573.84x = 20,102.51 × 8,605.15
  4. Step 4: Simplify right side
    14,573.84x = 172,985,085.18
  5. Step 5: Solve for x
    x = 172,985,085.18/14,573.84
  6. Step 6: Final answer
    x = 11,869.57

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