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Finding the Fourth Proportional to 1,710.40, 2,569.20 and 1,649.20

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Solution

The fourth proportional to 1,710.40, 2,569.20 and 1,649.20 is: 2,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.40 : 2,569.20 = 1,649.20 : x
  2. Step 2: Convert to fraction form
    1,710.40/2,569.20 = 1,649.20/x
  3. Step 3: Cross multiply
    1,710.40x = 2,569.20 × 1,649.20
  4. Step 4: Simplify right side
    1,710.40x = 4,237,124.64
  5. Step 5: Solve for x
    x = 4,237,124.64/1,710.40
  6. Step 6: Final answer
    x = 2,477.27

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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.