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Finding the Fourth Proportional to 7,124.53, 9,826.24 and 6,647.07

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Solution

The fourth proportional to 7,124.53, 9,826.24 and 6,647.07 is: 9,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.53 : 9,826.24 = 6,647.07 : x
  2. Step 2: Convert to fraction form
    7,124.53/9,826.24 = 6,647.07/x
  3. Step 3: Cross multiply
    7,124.53x = 9,826.24 × 6,647.07
  4. Step 4: Simplify right side
    7,124.53x = 65,315,705.12
  5. Step 5: Solve for x
    x = 65,315,705.12/7,124.53
  6. Step 6: Final answer
    x = 9,167.72

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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.