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Finding the Fourth Proportional to 3,483, 4,806.54 and 1,911.20

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Solution

The fourth proportional to 3,483, 4,806.54 and 1,911.20 is: 2,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483 : 4,806.54 = 1,911.20 : x
  2. Step 2: Convert to fraction form
    3,483/4,806.54 = 1,911.20/x
  3. Step 3: Cross multiply
    3,483x = 4,806.54 × 1,911.20
  4. Step 4: Simplify right side
    3,483x = 9,186,235.22
  5. Step 5: Solve for x
    x = 9,186,235.22/3,483
  6. Step 6: Final answer
    x = 2,637.45

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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.