Home / 1,543.96-2,130.74-946.28

Finding the Fourth Proportional to 1,543.96, 2,130.74 and 946.28

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Solution

The fourth proportional to 1,543.96, 2,130.74 and 946.28 is: 1,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.96 : 2,130.74 = 946.28 : x
  2. Step 2: Convert to fraction form
    1,543.96/2,130.74 = 946.28/x
  3. Step 3: Cross multiply
    1,543.96x = 2,130.74 × 946.28
  4. Step 4: Simplify right side
    1,543.96x = 2,016,276.65
  5. Step 5: Solve for x
    x = 2,016,276.65/1,543.96
  6. Step 6: Final answer
    x = 1,305.91

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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.