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Finding the Fourth Proportional to 19,712, 27,207.18 and 12,998.84

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Solution

The fourth proportional to 19,712, 27,207.18 and 12,998.84 is: 17,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712 : 27,207.18 = 12,998.84 : x
  2. Step 2: Convert to fraction form
    19,712/27,207.18 = 12,998.84/x
  3. Step 3: Cross multiply
    19,712x = 27,207.18 × 12,998.84
  4. Step 4: Simplify right side
    19,712x = 353,661,779.67
  5. Step 5: Solve for x
    x = 353,661,779.67/19,712
  6. Step 6: Final answer
    x = 17,941.45

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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.