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Finding the Fourth Proportional to 3,483.44, 5,225.16 and 1,430

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Solution

The fourth proportional to 3,483.44, 5,225.16 and 1,430 is: 2,145

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.44 : 5,225.16 = 1,430 : x
  2. Step 2: Convert to fraction form
    3,483.44/5,225.16 = 1,430/x
  3. Step 3: Cross multiply
    3,483.44x = 5,225.16 × 1,430
  4. Step 4: Simplify right side
    3,483.44x = 7,471,978.80
  5. Step 5: Solve for x
    x = 7,471,978.80/3,483.44
  6. Step 6: Final answer
    x = 2,145

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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.