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Finding the Fourth Proportional to 21,265, 29,345.70 and 12,433

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Solution

The fourth proportional to 21,265, 29,345.70 and 12,433 is: 17,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265 : 29,345.70 = 12,433 : x
  2. Step 2: Convert to fraction form
    21,265/29,345.70 = 12,433/x
  3. Step 3: Cross multiply
    21,265x = 29,345.70 × 12,433
  4. Step 4: Simplify right side
    21,265x = 364,855,088.10
  5. Step 5: Solve for x
    x = 364,855,088.10/21,265
  6. Step 6: Final answer
    x = 17,157.54

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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.