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Finding the Fourth Proportional to 15,860.84, 21,866.64 and 13,613

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Solution

The fourth proportional to 15,860.84, 21,866.64 and 13,613 is: 18,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860.84 : 21,866.64 = 13,613 : x
  2. Step 2: Convert to fraction form
    15,860.84/21,866.64 = 13,613/x
  3. Step 3: Cross multiply
    15,860.84x = 21,866.64 × 13,613
  4. Step 4: Simplify right side
    15,860.84x = 297,670,570.32
  5. Step 5: Solve for x
    x = 297,670,570.32/15,860.84
  6. Step 6: Final answer
    x = 18,767.64

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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.