Home / 3,116.48-4,673.76-1,064

Finding the Fourth Proportional to 3,116.48, 4,673.76 and 1,064

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Solution

The fourth proportional to 3,116.48, 4,673.76 and 1,064 is: 1,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.48 : 4,673.76 = 1,064 : x
  2. Step 2: Convert to fraction form
    3,116.48/4,673.76 = 1,064/x
  3. Step 3: Cross multiply
    3,116.48x = 4,673.76 × 1,064
  4. Step 4: Simplify right side
    3,116.48x = 4,972,880.64
  5. Step 5: Solve for x
    x = 4,972,880.64/3,116.48
  6. Step 6: Final answer
    x = 1,595.67

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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.