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Finding the Fourth Proportional to 2,829.52, 3,903.80 and 1,710.80

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Solution

The fourth proportional to 2,829.52, 3,903.80 and 1,710.80 is: 2,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.52 : 3,903.80 = 1,710.80 : x
  2. Step 2: Convert to fraction form
    2,829.52/3,903.80 = 1,710.80/x
  3. Step 3: Cross multiply
    2,829.52x = 3,903.80 × 1,710.80
  4. Step 4: Simplify right side
    2,829.52x = 6,678,621.04
  5. Step 5: Solve for x
    x = 6,678,621.04/2,829.52
  6. Step 6: Final answer
    x = 2,360.34

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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.