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Finding the Fourth Proportional to 21,497.89, 29,665.46 and 12,064.63

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Solution

The fourth proportional to 21,497.89, 29,665.46 and 12,064.63 is: 16,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.89 : 29,665.46 = 12,064.63 : x
  2. Step 2: Convert to fraction form
    21,497.89/29,665.46 = 12,064.63/x
  3. Step 3: Cross multiply
    21,497.89x = 29,665.46 × 12,064.63
  4. Step 4: Simplify right side
    21,497.89x = 357,902,590.03
  5. Step 5: Solve for x
    x = 357,902,590.03/21,497.89
  6. Step 6: Final answer
    x = 16,648.27

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1.5x scale

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.