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Finding the Fourth Proportional to 30,698.40, 42,362.40 and 17,270.40

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Solution

The fourth proportional to 30,698.40, 42,362.40 and 17,270.40 is: 23,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.40 : 42,362.40 = 17,270.40 : x
  2. Step 2: Convert to fraction form
    30,698.40/42,362.40 = 17,270.40/x
  3. Step 3: Cross multiply
    30,698.40x = 42,362.40 × 17,270.40
  4. Step 4: Simplify right side
    30,698.40x = 731,615,592.96
  5. Step 5: Solve for x
    x = 731,615,592.96/30,698.40
  6. Step 6: Final answer
    x = 23,832.37

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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.