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Finding the Fourth Proportional to 39,312, 54,249.75 and 21,407.31

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Solution

The fourth proportional to 39,312, 54,249.75 and 21,407.31 is: 29,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,312 : 54,249.75 = 21,407.31 : x
  2. Step 2: Convert to fraction form
    39,312/54,249.75 = 21,407.31/x
  3. Step 3: Cross multiply
    39,312x = 54,249.75 × 21,407.31
  4. Step 4: Simplify right side
    39,312x = 1,161,341,215.67
  5. Step 5: Solve for x
    x = 1,161,341,215.67/39,312
  6. Step 6: Final answer
    x = 29,541.65

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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.