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Finding the Fourth Proportional to 2,652.81, 3,648.71 and 2,127.69

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Solution

The fourth proportional to 2,652.81, 3,648.71 and 2,127.69 is: 2,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.81 : 3,648.71 = 2,127.69 : x
  2. Step 2: Convert to fraction form
    2,652.81/3,648.71 = 2,127.69/x
  3. Step 3: Cross multiply
    2,652.81x = 3,648.71 × 2,127.69
  4. Step 4: Simplify right side
    2,652.81x = 7,763,313.14
  5. Step 5: Solve for x
    x = 7,763,313.14/2,652.81
  6. Step 6: Final answer
    x = 2,926.45

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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.