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Finding the Fourth Proportional to 30,894, 42,633.48 and 16,746.48

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Solution

The fourth proportional to 30,894, 42,633.48 and 16,746.48 is: 23,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894 : 42,633.48 = 16,746.48 : x
  2. Step 2: Convert to fraction form
    30,894/42,633.48 = 16,746.48/x
  3. Step 3: Cross multiply
    30,894x = 42,633.48 × 16,746.48
  4. Step 4: Simplify right side
    30,894x = 713,960,720.15
  5. Step 5: Solve for x
    x = 713,960,720.15/30,894
  6. Step 6: Final answer
    x = 23,110.01

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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.