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Finding the Fourth Proportional to 7,148.91, 10,720.13 and 4,647.63

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Solution

The fourth proportional to 7,148.91, 10,720.13 and 4,647.63 is: 6,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.91 : 10,720.13 = 4,647.63 : x
  2. Step 2: Convert to fraction form
    7,148.91/10,720.13 = 4,647.63/x
  3. Step 3: Cross multiply
    7,148.91x = 10,720.13 × 4,647.63
  4. Step 4: Simplify right side
    7,148.91x = 49,823,197.79
  5. Step 5: Solve for x
    x = 49,823,197.79/7,148.91
  6. Step 6: Final answer
    x = 6,969.34

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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.