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Finding the Fourth Proportional to 1,898.32, 2,848.76 and 973.84

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Solution

The fourth proportional to 1,898.32, 2,848.76 and 973.84 is: 1,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.32 : 2,848.76 = 973.84 : x
  2. Step 2: Convert to fraction form
    1,898.32/2,848.76 = 973.84/x
  3. Step 3: Cross multiply
    1,898.32x = 2,848.76 × 973.84
  4. Step 4: Simplify right side
    1,898.32x = 2,774,236.44
  5. Step 5: Solve for x
    x = 2,774,236.44/1,898.32
  6. Step 6: Final answer
    x = 1,461.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.