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Finding the Fourth Proportional to 30,838, 42,556.44 and 17,590

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Solution

The fourth proportional to 30,838, 42,556.44 and 17,590 is: 24,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838 : 42,556.44 = 17,590 : x
  2. Step 2: Convert to fraction form
    30,838/42,556.44 = 17,590/x
  3. Step 3: Cross multiply
    30,838x = 42,556.44 × 17,590
  4. Step 4: Simplify right side
    30,838x = 748,567,779.60
  5. Step 5: Solve for x
    x = 748,567,779.60/30,838
  6. Step 6: Final answer
    x = 24,274.20

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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.