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Finding the Fourth Proportional to 4,969.12, 6,865.68 and 4,139.68

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Solution

The fourth proportional to 4,969.12, 6,865.68 and 4,139.68 is: 5,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.12 : 6,865.68 = 4,139.68 : x
  2. Step 2: Convert to fraction form
    4,969.12/6,865.68 = 4,139.68/x
  3. Step 3: Cross multiply
    4,969.12x = 6,865.68 × 4,139.68
  4. Step 4: Simplify right side
    4,969.12x = 28,421,718.18
  5. Step 5: Solve for x
    x = 28,421,718.18/4,969.12
  6. Step 6: Final answer
    x = 5,719.67

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1.5x scale

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.