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Finding the Fourth Proportional to 1,787,971, 2,467,400 and 983,155

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Solution

The fourth proportional to 1,787,971, 2,467,400 and 983,155 is: 1,356,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,971 : 2,467,400 = 983,155 : x
  2. Step 2: Convert to fraction form
    1,787,971/2,467,400 = 983,155/x
  3. Step 3: Cross multiply
    1,787,971x = 2,467,400 × 983,155
  4. Step 4: Simplify right side
    1,787,971x = 2,425,836,647,000
  5. Step 5: Solve for x
    x = 2,425,836,647,000/1,787,971
  6. Step 6: Final answer
    x = 1,356,753.91

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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.