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Finding the Fourth Proportional to 8,510.89, 11,736.48 and 5,678.32

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Solution

The fourth proportional to 8,510.89, 11,736.48 and 5,678.32 is: 7,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.89 : 11,736.48 = 5,678.32 : x
  2. Step 2: Convert to fraction form
    8,510.89/11,736.48 = 5,678.32/x
  3. Step 3: Cross multiply
    8,510.89x = 11,736.48 × 5,678.32
  4. Step 4: Simplify right side
    8,510.89x = 66,643,489.11
  5. Step 5: Solve for x
    x = 66,643,489.11/8,510.89
  6. Step 6: Final answer
    x = 7,830.38

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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.