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Finding the Fourth Proportional to 1,415.66, 1,946.06 and 1,264.70

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Solution

The fourth proportional to 1,415.66, 1,946.06 and 1,264.70 is: 1,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.66 : 1,946.06 = 1,264.70 : x
  2. Step 2: Convert to fraction form
    1,415.66/1,946.06 = 1,264.70/x
  3. Step 3: Cross multiply
    1,415.66x = 1,946.06 × 1,264.70
  4. Step 4: Simplify right side
    1,415.66x = 2,461,166.03
  5. Step 5: Solve for x
    x = 2,461,166.03/1,415.66
  6. Step 6: Final answer
    x = 1,738.54

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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.