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Finding the Fourth Proportional to 1,410, 1,946.57 and 938.25

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Solution

The fourth proportional to 1,410, 1,946.57 and 938.25 is: 1,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410 : 1,946.57 = 938.25 : x
  2. Step 2: Convert to fraction form
    1,410/1,946.57 = 938.25/x
  3. Step 3: Cross multiply
    1,410x = 1,946.57 × 938.25
  4. Step 4: Simplify right side
    1,410x = 1,826,369.30
  5. Step 5: Solve for x
    x = 1,826,369.30/1,410
  6. Step 6: Final answer
    x = 1,295.30

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Half scale
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Double scale
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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.