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Finding the Fourth Proportional to 2,259.79, 3,386.79 and 1,966.07

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Solution

The fourth proportional to 2,259.79, 3,386.79 and 1,966.07 is: 2,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.79 : 3,386.79 = 1,966.07 : x
  2. Step 2: Convert to fraction form
    2,259.79/3,386.79 = 1,966.07/x
  3. Step 3: Cross multiply
    2,259.79x = 3,386.79 × 1,966.07
  4. Step 4: Simplify right side
    2,259.79x = 6,658,666.22
  5. Step 5: Solve for x
    x = 6,658,666.22/2,259.79
  6. Step 6: Final answer
    x = 2,946.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.