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Finding the Fourth Proportional to 3,542.04, 4,888 and 1,970.13

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Solution

The fourth proportional to 3,542.04, 4,888 and 1,970.13 is: 2,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.04 : 4,888 = 1,970.13 : x
  2. Step 2: Convert to fraction form
    3,542.04/4,888 = 1,970.13/x
  3. Step 3: Cross multiply
    3,542.04x = 4,888 × 1,970.13
  4. Step 4: Simplify right side
    3,542.04x = 9,629,995.44
  5. Step 5: Solve for x
    x = 9,629,995.44/3,542.04
  6. Step 6: Final answer
    x = 2,718.77

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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.