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Finding the Fourth Proportional to 30,009.52, 45,015.06 and 10,288

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Solution

The fourth proportional to 30,009.52, 45,015.06 and 10,288 is: 15,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.52 : 45,015.06 = 10,288 : x
  2. Step 2: Convert to fraction form
    30,009.52/45,015.06 = 10,288/x
  3. Step 3: Cross multiply
    30,009.52x = 45,015.06 × 10,288
  4. Step 4: Simplify right side
    30,009.52x = 463,114,937.28
  5. Step 5: Solve for x
    x = 463,114,937.28/30,009.52
  6. Step 6: Final answer
    x = 15,432.27

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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.