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Finding the Fourth Proportional to 12,683.70, 17,506.27 and 7,379.22

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Solution

The fourth proportional to 12,683.70, 17,506.27 and 7,379.22 is: 10,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.70 : 17,506.27 = 7,379.22 : x
  2. Step 2: Convert to fraction form
    12,683.70/17,506.27 = 7,379.22/x
  3. Step 3: Cross multiply
    12,683.70x = 17,506.27 × 7,379.22
  4. Step 4: Simplify right side
    12,683.70x = 129,182,617.71
  5. Step 5: Solve for x
    x = 129,182,617.71/12,683.70
  6. Step 6: Final answer
    x = 10,184.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.