Home / 4,180-6,269.23-1,547.10

Finding the Fourth Proportional to 4,180, 6,269.23 and 1,547.10

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Solution

The fourth proportional to 4,180, 6,269.23 and 1,547.10 is: 2,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 6,269.23 = 1,547.10 : x
  2. Step 2: Convert to fraction form
    4,180/6,269.23 = 1,547.10/x
  3. Step 3: Cross multiply
    4,180x = 6,269.23 × 1,547.10
  4. Step 4: Simplify right side
    4,180x = 9,699,125.73
  5. Step 5: Solve for x
    x = 9,699,125.73/4,180
  6. Step 6: Final answer
    x = 2,320.37

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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.