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Finding the Fourth Proportional to 3,648.07, 5,471.50 and 1,307.67

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Solution

The fourth proportional to 3,648.07, 5,471.50 and 1,307.67 is: 1,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.07 : 5,471.50 = 1,307.67 : x
  2. Step 2: Convert to fraction form
    3,648.07/5,471.50 = 1,307.67/x
  3. Step 3: Cross multiply
    3,648.07x = 5,471.50 × 1,307.67
  4. Step 4: Simplify right side
    3,648.07x = 7,154,916.41
  5. Step 5: Solve for x
    x = 7,154,916.41/3,648.07
  6. Step 6: Final answer
    x = 1,961.29

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1.5x scale

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.