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Finding the Fourth Proportional to 10,315, 15,475.06 and 3,019

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Solution

The fourth proportional to 10,315, 15,475.06 and 3,019 is: 4,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315 : 15,475.06 = 3,019 : x
  2. Step 2: Convert to fraction form
    10,315/15,475.06 = 3,019/x
  3. Step 3: Cross multiply
    10,315x = 15,475.06 × 3,019
  4. Step 4: Simplify right side
    10,315x = 46,719,206.14
  5. Step 5: Solve for x
    x = 46,719,206.14/10,315
  6. Step 6: Final answer
    x = 4,529.25

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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.