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Finding the Fourth Proportional to 1,521.72, 2,099.93 and 858.67

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Solution

The fourth proportional to 1,521.72, 2,099.93 and 858.67 is: 1,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.72 : 2,099.93 = 858.67 : x
  2. Step 2: Convert to fraction form
    1,521.72/2,099.93 = 858.67/x
  3. Step 3: Cross multiply
    1,521.72x = 2,099.93 × 858.67
  4. Step 4: Simplify right side
    1,521.72x = 1,803,137.35
  5. Step 5: Solve for x
    x = 1,803,137.35/1,521.72
  6. Step 6: Final answer
    x = 1,184.93

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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.