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Finding the Fourth Proportional to 8,376.54, 11,555.93 and 5,189.00

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Solution

The fourth proportional to 8,376.54, 11,555.93 and 5,189.00 is: 7,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.54 : 11,555.93 = 5,189.00 : x
  2. Step 2: Convert to fraction form
    8,376.54/11,555.93 = 5,189.00/x
  3. Step 3: Cross multiply
    8,376.54x = 11,555.93 × 5,189.00
  4. Step 4: Simplify right side
    8,376.54x = 59,963,637.05
  5. Step 5: Solve for x
    x = 59,963,637.05/8,376.54
  6. Step 6: Final answer
    x = 7,158.52

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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.