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Finding the Fourth Proportional to 21,021.64, 29,009.64 and 11,590

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Solution

The fourth proportional to 21,021.64, 29,009.64 and 11,590 is: 15,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.64 : 29,009.64 = 11,590 : x
  2. Step 2: Convert to fraction form
    21,021.64/29,009.64 = 11,590/x
  3. Step 3: Cross multiply
    21,021.64x = 29,009.64 × 11,590
  4. Step 4: Simplify right side
    21,021.64x = 336,221,727.60
  5. Step 5: Solve for x
    x = 336,221,727.60/21,021.64
  6. Step 6: Final answer
    x = 15,994.08

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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.