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Finding the Fourth Proportional to 4,657.98, 6,986.80 and 1,148.01

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Solution

The fourth proportional to 4,657.98, 6,986.80 and 1,148.01 is: 1,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.98 : 6,986.80 = 1,148.01 : x
  2. Step 2: Convert to fraction form
    4,657.98/6,986.80 = 1,148.01/x
  3. Step 3: Cross multiply
    4,657.98x = 6,986.80 × 1,148.01
  4. Step 4: Simplify right side
    4,657.98x = 8,020,916.27
  5. Step 5: Solve for x
    x = 8,020,916.27/4,657.98
  6. Step 6: Final answer
    x = 1,721.97

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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.