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Finding the Fourth Proportional to 2,609.16, 3,913 and 1,148

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Solution

The fourth proportional to 2,609.16, 3,913 and 1,148 is: 1,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.16 : 3,913 = 1,148 : x
  2. Step 2: Convert to fraction form
    2,609.16/3,913 = 1,148/x
  3. Step 3: Cross multiply
    2,609.16x = 3,913 × 1,148
  4. Step 4: Simplify right side
    2,609.16x = 4,492,124
  5. Step 5: Solve for x
    x = 4,492,124/2,609.16
  6. Step 6: Final answer
    x = 1,721.67

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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.