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Finding the Fourth Proportional to 1,546, 2,328.26 and 1,407.76

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Solution

The fourth proportional to 1,546, 2,328.26 and 1,407.76 is: 2,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546 : 2,328.26 = 1,407.76 : x
  2. Step 2: Convert to fraction form
    1,546/2,328.26 = 1,407.76/x
  3. Step 3: Cross multiply
    1,546x = 2,328.26 × 1,407.76
  4. Step 4: Simplify right side
    1,546x = 3,277,631.30
  5. Step 5: Solve for x
    x = 3,277,631.30/1,546
  6. Step 6: Final answer
    x = 2,120.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.