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Finding the Fourth Proportional to 21,365.68, 29,482.64 and 12,413

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Solution

The fourth proportional to 21,365.68, 29,482.64 and 12,413 is: 17,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.68 : 29,482.64 = 12,413 : x
  2. Step 2: Convert to fraction form
    21,365.68/29,482.64 = 12,413/x
  3. Step 3: Cross multiply
    21,365.68x = 29,482.64 × 12,413
  4. Step 4: Simplify right side
    21,365.68x = 365,968,010.32
  5. Step 5: Solve for x
    x = 365,968,010.32/21,365.68
  6. Step 6: Final answer
    x = 17,128.78

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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.