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Finding the Fourth Proportional to 10,203.02, 15,274.81 and 7,582.15

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Solution

The fourth proportional to 10,203.02, 15,274.81 and 7,582.15 is: 11,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.02 : 15,274.81 = 7,582.15 : x
  2. Step 2: Convert to fraction form
    10,203.02/15,274.81 = 7,582.15/x
  3. Step 3: Cross multiply
    10,203.02x = 15,274.81 × 7,582.15
  4. Step 4: Simplify right side
    10,203.02x = 115,815,900.64
  5. Step 5: Solve for x
    x = 115,815,900.64/10,203.02
  6. Step 6: Final answer
    x = 11,351.14

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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.