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Finding the Fourth Proportional to 30,980.40, 42,751.56 and 17,550.87

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Solution

The fourth proportional to 30,980.40, 42,751.56 and 17,550.87 is: 24,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.40 : 42,751.56 = 17,550.87 : x
  2. Step 2: Convert to fraction form
    30,980.40/42,751.56 = 17,550.87/x
  3. Step 3: Cross multiply
    30,980.40x = 42,751.56 × 17,550.87
  4. Step 4: Simplify right side
    30,980.40x = 750,327,071.86
  5. Step 5: Solve for x
    x = 750,327,071.86/30,980.40
  6. Step 6: Final answer
    x = 24,219.41

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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.