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Finding the Fourth Proportional to 8,140.10, 12,210.15 and 4,856.90

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Solution

The fourth proportional to 8,140.10, 12,210.15 and 4,856.90 is: 7,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.10 : 12,210.15 = 4,856.90 : x
  2. Step 2: Convert to fraction form
    8,140.10/12,210.15 = 4,856.90/x
  3. Step 3: Cross multiply
    8,140.10x = 12,210.15 × 4,856.90
  4. Step 4: Simplify right side
    8,140.10x = 59,303,477.54
  5. Step 5: Solve for x
    x = 59,303,477.54/8,140.10
  6. Step 6: Final answer
    x = 7,285.35

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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.