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Finding the Fourth Proportional to 30,742.48, 42,373.64 and 21,778.48

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Solution

The fourth proportional to 30,742.48, 42,373.64 and 21,778.48 is: 30,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.48 : 42,373.64 = 21,778.48 : x
  2. Step 2: Convert to fraction form
    30,742.48/42,373.64 = 21,778.48/x
  3. Step 3: Cross multiply
    30,742.48x = 42,373.64 × 21,778.48
  4. Step 4: Simplify right side
    30,742.48x = 922,833,471.27
  5. Step 5: Solve for x
    x = 922,833,471.27/30,742.48
  6. Step 6: Final answer
    x = 30,018.19

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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.