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Finding the Fourth Proportional to 30,803.16, 42,489.18 and 18,219

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Solution

The fourth proportional to 30,803.16, 42,489.18 and 18,219 is: 25,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.16 : 42,489.18 = 18,219 : x
  2. Step 2: Convert to fraction form
    30,803.16/42,489.18 = 18,219/x
  3. Step 3: Cross multiply
    30,803.16x = 42,489.18 × 18,219
  4. Step 4: Simplify right side
    30,803.16x = 774,110,370.42
  5. Step 5: Solve for x
    x = 774,110,370.42/30,803.16
  6. Step 6: Final answer
    x = 25,130.88

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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.