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Finding the Fourth Proportional to 2,802.01, 3,866.79 and 1,543.07

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Solution

The fourth proportional to 2,802.01, 3,866.79 and 1,543.07 is: 2,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.01 : 3,866.79 = 1,543.07 : x
  2. Step 2: Convert to fraction form
    2,802.01/3,866.79 = 1,543.07/x
  3. Step 3: Cross multiply
    2,802.01x = 3,866.79 × 1,543.07
  4. Step 4: Simplify right side
    2,802.01x = 5,966,727.65
  5. Step 5: Solve for x
    x = 5,966,727.65/2,802.01
  6. Step 6: Final answer
    x = 2,129.45

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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.