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Finding the Fourth Proportional to 15,779.88, 21,762.18 and 10,185

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Solution

The fourth proportional to 15,779.88, 21,762.18 and 10,185 is: 14,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.88 : 21,762.18 = 10,185 : x
  2. Step 2: Convert to fraction form
    15,779.88/21,762.18 = 10,185/x
  3. Step 3: Cross multiply
    15,779.88x = 21,762.18 × 10,185
  4. Step 4: Simplify right side
    15,779.88x = 221,647,803.30
  5. Step 5: Solve for x
    x = 221,647,803.30/15,779.88
  6. Step 6: Final answer
    x = 14,046.23

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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.