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Finding the Fourth Proportional to 3,637.86, 5,456.79 and 1,689

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Solution

The fourth proportional to 3,637.86, 5,456.79 and 1,689 is: 2,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.86 : 5,456.79 = 1,689 : x
  2. Step 2: Convert to fraction form
    3,637.86/5,456.79 = 1,689/x
  3. Step 3: Cross multiply
    3,637.86x = 5,456.79 × 1,689
  4. Step 4: Simplify right side
    3,637.86x = 9,216,518.31
  5. Step 5: Solve for x
    x = 9,216,518.31/3,637.86
  6. Step 6: Final answer
    x = 2,533.50

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1.5x scale

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.