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Finding the Fourth Proportional to 7,887.62, 10,878.06 and 6,825.05

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Solution

The fourth proportional to 7,887.62, 10,878.06 and 6,825.05 is: 9,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.62 : 10,878.06 = 6,825.05 : x
  2. Step 2: Convert to fraction form
    7,887.62/10,878.06 = 6,825.05/x
  3. Step 3: Cross multiply
    7,887.62x = 10,878.06 × 6,825.05
  4. Step 4: Simplify right side
    7,887.62x = 74,243,303.40
  5. Step 5: Solve for x
    x = 74,243,303.40/7,887.62
  6. Step 6: Final answer
    x = 9,412.64

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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.