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Finding the Fourth Proportional to 30,740.48, 42,370.88 and 21,776.48

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Solution

The fourth proportional to 30,740.48, 42,370.88 and 21,776.48 is: 30,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.48 : 42,370.88 = 21,776.48 : x
  2. Step 2: Convert to fraction form
    30,740.48/42,370.88 = 21,776.48/x
  3. Step 3: Cross multiply
    30,740.48x = 42,370.88 × 21,776.48
  4. Step 4: Simplify right side
    30,740.48x = 922,688,620.90
  5. Step 5: Solve for x
    x = 922,688,620.90/30,740.48
  6. Step 6: Final answer
    x = 30,015.43

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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.