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Finding the Fourth Proportional to 15,492, 21,435.27 and 13,506.69

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Solution

The fourth proportional to 15,492, 21,435.27 and 13,506.69 is: 18,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492 : 21,435.27 = 13,506.69 : x
  2. Step 2: Convert to fraction form
    15,492/21,435.27 = 13,506.69/x
  3. Step 3: Cross multiply
    15,492x = 21,435.27 × 13,506.69
  4. Step 4: Simplify right side
    15,492x = 289,519,546.96
  5. Step 5: Solve for x
    x = 289,519,546.96/15,492
  6. Step 6: Final answer
    x = 18,688.33

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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.