Home / 2,130.24-2,937.78-1,412.13

Finding the Fourth Proportional to 2,130.24, 2,937.78 and 1,412.13

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Solution

The fourth proportional to 2,130.24, 2,937.78 and 1,412.13 is: 1,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.24 : 2,937.78 = 1,412.13 : x
  2. Step 2: Convert to fraction form
    2,130.24/2,937.78 = 1,412.13/x
  3. Step 3: Cross multiply
    2,130.24x = 2,937.78 × 1,412.13
  4. Step 4: Simplify right side
    2,130.24x = 4,148,527.27
  5. Step 5: Solve for x
    x = 4,148,527.27/2,130.24
  6. Step 6: Final answer
    x = 1,947.45

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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.