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Finding the Fourth Proportional to 7,124.64, 9,822.12 and 6,140.40

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Solution

The fourth proportional to 7,124.64, 9,822.12 and 6,140.40 is: 8,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.64 : 9,822.12 = 6,140.40 : x
  2. Step 2: Convert to fraction form
    7,124.64/9,822.12 = 6,140.40/x
  3. Step 3: Cross multiply
    7,124.64x = 9,822.12 × 6,140.40
  4. Step 4: Simplify right side
    7,124.64x = 60,311,745.65
  5. Step 5: Solve for x
    x = 60,311,745.65/7,124.64
  6. Step 6: Final answer
    x = 8,465.23

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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.