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Finding the Fourth Proportional to 1,410, 1,946.22 and 990.47

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Solution

The fourth proportional to 1,410, 1,946.22 and 990.47 is: 1,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410 : 1,946.22 = 990.47 : x
  2. Step 2: Convert to fraction form
    1,410/1,946.22 = 990.47/x
  3. Step 3: Cross multiply
    1,410x = 1,946.22 × 990.47
  4. Step 4: Simplify right side
    1,410x = 1,927,662.79
  5. Step 5: Solve for x
    x = 1,927,662.79/1,410
  6. Step 6: Final answer
    x = 1,367.14

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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.