Home / 3,122.16-4,683.88-1,070

Finding the Fourth Proportional to 3,122.16, 4,683.88 and 1,070

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Solution

The fourth proportional to 3,122.16, 4,683.88 and 1,070 is: 1,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.16 : 4,683.88 = 1,070 : x
  2. Step 2: Convert to fraction form
    3,122.16/4,683.88 = 1,070/x
  3. Step 3: Cross multiply
    3,122.16x = 4,683.88 × 1,070
  4. Step 4: Simplify right side
    3,122.16x = 5,011,751.60
  5. Step 5: Solve for x
    x = 5,011,751.60/3,122.16
  6. Step 6: Final answer
    x = 1,605.22

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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.