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Finding the Fourth Proportional to 1,461.69, 1,999.26 and 1,439.01

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Solution

The fourth proportional to 1,461.69, 1,999.26 and 1,439.01 is: 1,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.69 : 1,999.26 = 1,439.01 : x
  2. Step 2: Convert to fraction form
    1,461.69/1,999.26 = 1,439.01/x
  3. Step 3: Cross multiply
    1,461.69x = 1,999.26 × 1,439.01
  4. Step 4: Simplify right side
    1,461.69x = 2,876,955.13
  5. Step 5: Solve for x
    x = 2,876,955.13/1,461.69
  6. Step 6: Final answer
    x = 1,968.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.