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Finding the Fourth Proportional to 30,454.78, 42,028.52 and 17,026.60

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Solution

The fourth proportional to 30,454.78, 42,028.52 and 17,026.60 is: 23,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.78 : 42,028.52 = 17,026.60 : x
  2. Step 2: Convert to fraction form
    30,454.78/42,028.52 = 17,026.60/x
  3. Step 3: Cross multiply
    30,454.78x = 42,028.52 × 17,026.60
  4. Step 4: Simplify right side
    30,454.78x = 715,602,798.63
  5. Step 5: Solve for x
    x = 715,602,798.63/30,454.78
  6. Step 6: Final answer
    x = 23,497.22

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1.5x scale

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.