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Finding the Fourth Proportional to 6,578.98, 9,870.10 and 1,898.87

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Solution

The fourth proportional to 6,578.98, 9,870.10 and 1,898.87 is: 2,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.98 : 9,870.10 = 1,898.87 : x
  2. Step 2: Convert to fraction form
    6,578.98/9,870.10 = 1,898.87/x
  3. Step 3: Cross multiply
    6,578.98x = 9,870.10 × 1,898.87
  4. Step 4: Simplify right side
    6,578.98x = 18,742,056.72
  5. Step 5: Solve for x
    x = 18,742,056.72/6,578.98
  6. Step 6: Final answer
    x = 2,848.78

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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.