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Finding the Fourth Proportional to 6,783.91, 9,352.16 and 4,988.23

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Solution

The fourth proportional to 6,783.91, 9,352.16 and 4,988.23 is: 6,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.91 : 9,352.16 = 4,988.23 : x
  2. Step 2: Convert to fraction form
    6,783.91/9,352.16 = 4,988.23/x
  3. Step 3: Cross multiply
    6,783.91x = 9,352.16 × 4,988.23
  4. Step 4: Simplify right side
    6,783.91x = 46,650,695.46
  5. Step 5: Solve for x
    x = 46,650,695.46/6,783.91
  6. Step 6: Final answer
    x = 6,876.67

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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.