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Finding the Fourth Proportional to 1,541.62, 2,126.92 and 912.35

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Solution

The fourth proportional to 1,541.62, 2,126.92 and 912.35 is: 1,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.62 : 2,126.92 = 912.35 : x
  2. Step 2: Convert to fraction form
    1,541.62/2,126.92 = 912.35/x
  3. Step 3: Cross multiply
    1,541.62x = 2,126.92 × 912.35
  4. Step 4: Simplify right side
    1,541.62x = 1,940,495.46
  5. Step 5: Solve for x
    x = 1,940,495.46/1,541.62
  6. Step 6: Final answer
    x = 1,258.74

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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.