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Finding the Fourth Proportional to 30,735.52, 42,417.12 and 17,308

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Solution

The fourth proportional to 30,735.52, 42,417.12 and 17,308 is: 23,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.52 : 42,417.12 = 17,308 : x
  2. Step 2: Convert to fraction form
    30,735.52/42,417.12 = 17,308/x
  3. Step 3: Cross multiply
    30,735.52x = 42,417.12 × 17,308
  4. Step 4: Simplify right side
    30,735.52x = 734,155,512.96
  5. Step 5: Solve for x
    x = 734,155,512.96/30,735.52
  6. Step 6: Final answer
    x = 23,886.22

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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.