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Finding the Fourth Proportional to 19,582.76, 27,031.93 and 13,213.13

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Solution

The fourth proportional to 19,582.76, 27,031.93 and 13,213.13 is: 18,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582.76 : 27,031.93 = 13,213.13 : x
  2. Step 2: Convert to fraction form
    19,582.76/27,031.93 = 13,213.13/x
  3. Step 3: Cross multiply
    19,582.76x = 27,031.93 × 13,213.13
  4. Step 4: Simplify right side
    19,582.76x = 357,176,237.05
  5. Step 5: Solve for x
    x = 357,176,237.05/19,582.76
  6. Step 6: Final answer
    x = 18,239.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.