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Finding the Fourth Proportional to 35,215, 48,588 and 20,878.19

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Solution

The fourth proportional to 35,215, 48,588 and 20,878.19 is: 28,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,215 : 48,588 = 20,878.19 : x
  2. Step 2: Convert to fraction form
    35,215/48,588 = 20,878.19/x
  3. Step 3: Cross multiply
    35,215x = 48,588 × 20,878.19
  4. Step 4: Simplify right side
    35,215x = 1,014,429,495.72
  5. Step 5: Solve for x
    x = 1,014,429,495.72/35,215
  6. Step 6: Final answer
    x = 28,806.74

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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.