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Finding the Fourth Proportional to 8,730.12, 13,015.78 and 7,745.16

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Solution

The fourth proportional to 8,730.12, 13,015.78 and 7,745.16 is: 11,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.12 : 13,015.78 = 7,745.16 : x
  2. Step 2: Convert to fraction form
    8,730.12/13,015.78 = 7,745.16/x
  3. Step 3: Cross multiply
    8,730.12x = 13,015.78 × 7,745.16
  4. Step 4: Simplify right side
    8,730.12x = 100,809,298.62
  5. Step 5: Solve for x
    x = 100,809,298.62/8,730.12
  6. Step 6: Final answer
    x = 11,547.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.