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Finding the Fourth Proportional to 4,013, 6,019.20 and 1,547.60

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Solution

The fourth proportional to 4,013, 6,019.20 and 1,547.60 is: 2,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013 : 6,019.20 = 1,547.60 : x
  2. Step 2: Convert to fraction form
    4,013/6,019.20 = 1,547.60/x
  3. Step 3: Cross multiply
    4,013x = 6,019.20 × 1,547.60
  4. Step 4: Simplify right side
    4,013x = 9,315,313.92
  5. Step 5: Solve for x
    x = 9,315,313.92/4,013
  6. Step 6: Final answer
    x = 2,321.28

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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.