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Finding the Fourth Proportional to 30,009.87, 45,017 and 10,288.26

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Solution

The fourth proportional to 30,009.87, 45,017 and 10,288.26 is: 15,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.87 : 45,017 = 10,288.26 : x
  2. Step 2: Convert to fraction form
    30,009.87/45,017 = 10,288.26/x
  3. Step 3: Cross multiply
    30,009.87x = 45,017 × 10,288.26
  4. Step 4: Simplify right side
    30,009.87x = 463,146,600.42
  5. Step 5: Solve for x
    x = 463,146,600.42/30,009.87
  6. Step 6: Final answer
    x = 15,433.14

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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.