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Finding the Fourth Proportional to 13,803.47, 19,047.36 and 7,754.39

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Solution

The fourth proportional to 13,803.47, 19,047.36 and 7,754.39 is: 10,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.47 : 19,047.36 = 7,754.39 : x
  2. Step 2: Convert to fraction form
    13,803.47/19,047.36 = 7,754.39/x
  3. Step 3: Cross multiply
    13,803.47x = 19,047.36 × 7,754.39
  4. Step 4: Simplify right side
    13,803.47x = 147,700,619.14
  5. Step 5: Solve for x
    x = 147,700,619.14/13,803.47
  6. Step 6: Final answer
    x = 10,700.25

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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.