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Finding the Fourth Proportional to 30,496.64, 45,707.28 and 18,004

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Solution

The fourth proportional to 30,496.64, 45,707.28 and 18,004 is: 26,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.64 : 45,707.28 = 18,004 : x
  2. Step 2: Convert to fraction form
    30,496.64/45,707.28 = 18,004/x
  3. Step 3: Cross multiply
    30,496.64x = 45,707.28 × 18,004
  4. Step 4: Simplify right side
    30,496.64x = 822,913,869.12
  5. Step 5: Solve for x
    x = 822,913,869.12/30,496.64
  6. Step 6: Final answer
    x = 26,983.76

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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.