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Finding the Fourth Proportional to 6,147.92, 8,484.47 and 4,653.20

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Solution

The fourth proportional to 6,147.92, 8,484.47 and 4,653.20 is: 6,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.92 : 8,484.47 = 4,653.20 : x
  2. Step 2: Convert to fraction form
    6,147.92/8,484.47 = 4,653.20/x
  3. Step 3: Cross multiply
    6,147.92x = 8,484.47 × 4,653.20
  4. Step 4: Simplify right side
    6,147.92x = 39,479,870.12
  5. Step 5: Solve for x
    x = 39,479,870.12/6,147.92
  6. Step 6: Final answer
    x = 6,421.67

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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.