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Finding the Fourth Proportional to 30,583.68, 45,901.44 and 12,128.64

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Solution

The fourth proportional to 30,583.68, 45,901.44 and 12,128.64 is: 18,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.68 : 45,901.44 = 12,128.64 : x
  2. Step 2: Convert to fraction form
    30,583.68/45,901.44 = 12,128.64/x
  3. Step 3: Cross multiply
    30,583.68x = 45,901.44 × 12,128.64
  4. Step 4: Simplify right side
    30,583.68x = 556,722,041.24
  5. Step 5: Solve for x
    x = 556,722,041.24/30,583.68
  6. Step 6: Final answer
    x = 18,203.24

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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.