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Finding the Fourth Proportional to 10,407.62, 15,603.23 and 3,830.22

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Solution

The fourth proportional to 10,407.62, 15,603.23 and 3,830.22 is: 5,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.62 : 15,603.23 = 3,830.22 : x
  2. Step 2: Convert to fraction form
    10,407.62/15,603.23 = 3,830.22/x
  3. Step 3: Cross multiply
    10,407.62x = 15,603.23 × 3,830.22
  4. Step 4: Simplify right side
    10,407.62x = 59,763,813.19
  5. Step 5: Solve for x
    x = 59,763,813.19/10,407.62
  6. Step 6: Final answer
    x = 5,742.31

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1.5x scale

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.