Home / 1,466.25-2,199.93-947.24

Finding the Fourth Proportional to 1,466.25, 2,199.93 and 947.24

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Solution

The fourth proportional to 1,466.25, 2,199.93 and 947.24 is: 1,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.25 : 2,199.93 = 947.24 : x
  2. Step 2: Convert to fraction form
    1,466.25/2,199.93 = 947.24/x
  3. Step 3: Cross multiply
    1,466.25x = 2,199.93 × 947.24
  4. Step 4: Simplify right side
    1,466.25x = 2,083,855.39
  5. Step 5: Solve for x
    x = 2,083,855.39/1,466.25
  6. Step 6: Final answer
    x = 1,421.22

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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.