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Finding the Fourth Proportional to 12,798.22, 19,185 and 6,561.16

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Solution

The fourth proportional to 12,798.22, 19,185 and 6,561.16 is: 9,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.22 : 19,185 = 6,561.16 : x
  2. Step 2: Convert to fraction form
    12,798.22/19,185 = 6,561.16/x
  3. Step 3: Cross multiply
    12,798.22x = 19,185 × 6,561.16
  4. Step 4: Simplify right side
    12,798.22x = 125,875,854.60
  5. Step 5: Solve for x
    x = 125,875,854.60/12,798.22
  6. Step 6: Final answer
    x = 9,835.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.