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Finding the Fourth Proportional to 2,646.87, 3,652.62 and 1,527.81

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Solution

The fourth proportional to 2,646.87, 3,652.62 and 1,527.81 is: 2,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.87 : 3,652.62 = 1,527.81 : x
  2. Step 2: Convert to fraction form
    2,646.87/3,652.62 = 1,527.81/x
  3. Step 3: Cross multiply
    2,646.87x = 3,652.62 × 1,527.81
  4. Step 4: Simplify right side
    2,646.87x = 5,580,509.36
  5. Step 5: Solve for x
    x = 5,580,509.36/2,646.87
  6. Step 6: Final answer
    x = 2,108.34

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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.