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Finding the Fourth Proportional to 19,873.12, 27,421.68 and 11,488

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Solution

The fourth proportional to 19,873.12, 27,421.68 and 11,488 is: 15,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.12 : 27,421.68 = 11,488 : x
  2. Step 2: Convert to fraction form
    19,873.12/27,421.68 = 11,488/x
  3. Step 3: Cross multiply
    19,873.12x = 27,421.68 × 11,488
  4. Step 4: Simplify right side
    19,873.12x = 315,020,259.84
  5. Step 5: Solve for x
    x = 315,020,259.84/19,873.12
  6. Step 6: Final answer
    x = 15,851.58

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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.