Home / 10,948.16-16,421.40-4,022

Finding the Fourth Proportional to 10,948.16, 16,421.40 and 4,022

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Solution

The fourth proportional to 10,948.16, 16,421.40 and 4,022 is: 6,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.16 : 16,421.40 = 4,022 : x
  2. Step 2: Convert to fraction form
    10,948.16/16,421.40 = 4,022/x
  3. Step 3: Cross multiply
    10,948.16x = 16,421.40 × 4,022
  4. Step 4: Simplify right side
    10,948.16x = 66,046,870.80
  5. Step 5: Solve for x
    x = 66,046,870.80/10,948.16
  6. Step 6: Final answer
    x = 6,032.69

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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.