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Finding the Fourth Proportional to 30,655.01, 45,964.06 and 19,989.32

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Solution

The fourth proportional to 30,655.01, 45,964.06 and 19,989.32 is: 29,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.01 : 45,964.06 = 19,989.32 : x
  2. Step 2: Convert to fraction form
    30,655.01/45,964.06 = 19,989.32/x
  3. Step 3: Cross multiply
    30,655.01x = 45,964.06 × 19,989.32
  4. Step 4: Simplify right side
    30,655.01x = 918,790,024.05
  5. Step 5: Solve for x
    x = 918,790,024.05/30,655.01
  6. Step 6: Final answer
    x = 29,971.93

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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.