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Finding the Fourth Proportional to 6,868.84, 9,478.11 and 4,477.72

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Solution

The fourth proportional to 6,868.84, 9,478.11 and 4,477.72 is: 6,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.84 : 9,478.11 = 4,477.72 : x
  2. Step 2: Convert to fraction form
    6,868.84/9,478.11 = 4,477.72/x
  3. Step 3: Cross multiply
    6,868.84x = 9,478.11 × 4,477.72
  4. Step 4: Simplify right side
    6,868.84x = 42,440,322.71
  5. Step 5: Solve for x
    x = 42,440,322.71/6,868.84
  6. Step 6: Final answer
    x = 6,178.67

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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.