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Finding the Fourth Proportional to 30,497.64, 45,708.78 and 18,005

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Solution

The fourth proportional to 30,497.64, 45,708.78 and 18,005 is: 26,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.64 : 45,708.78 = 18,005 : x
  2. Step 2: Convert to fraction form
    30,497.64/45,708.78 = 18,005/x
  3. Step 3: Cross multiply
    30,497.64x = 45,708.78 × 18,005
  4. Step 4: Simplify right side
    30,497.64x = 822,986,583.90
  5. Step 5: Solve for x
    x = 822,986,583.90/30,497.64
  6. Step 6: Final answer
    x = 26,985.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.