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Finding the Fourth Proportional to 8,736.68, 13,037.93 and 7,802.48

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Solution

The fourth proportional to 8,736.68, 13,037.93 and 7,802.48 is: 11,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.68 : 13,037.93 = 7,802.48 : x
  2. Step 2: Convert to fraction form
    8,736.68/13,037.93 = 7,802.48/x
  3. Step 3: Cross multiply
    8,736.68x = 13,037.93 × 7,802.48
  4. Step 4: Simplify right side
    8,736.68x = 101,728,188.07
  5. Step 5: Solve for x
    x = 101,728,188.07/8,736.68
  6. Step 6: Final answer
    x = 11,643.80

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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.