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Finding the Fourth Proportional to 19,686, 27,166.68 and 11,303.04

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Solution

The fourth proportional to 19,686, 27,166.68 and 11,303.04 is: 15,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686 : 27,166.68 = 11,303.04 : x
  2. Step 2: Convert to fraction form
    19,686/27,166.68 = 11,303.04/x
  3. Step 3: Cross multiply
    19,686x = 27,166.68 × 11,303.04
  4. Step 4: Simplify right side
    19,686x = 307,066,070.71
  5. Step 5: Solve for x
    x = 307,066,070.71/19,686
  6. Step 6: Final answer
    x = 15,598.20

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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.