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Finding the Fourth Proportional to 8,628, 11,901.78 and 5,643.15

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Solution

The fourth proportional to 8,628, 11,901.78 and 5,643.15 is: 7,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628 : 11,901.78 = 5,643.15 : x
  2. Step 2: Convert to fraction form
    8,628/11,901.78 = 5,643.15/x
  3. Step 3: Cross multiply
    8,628x = 11,901.78 × 5,643.15
  4. Step 4: Simplify right side
    8,628x = 67,163,529.81
  5. Step 5: Solve for x
    x = 67,163,529.81/8,628
  6. Step 6: Final answer
    x = 7,784.37

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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.