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Finding the Fourth Proportional to 13,039.95, 17,995.14 and 7,071.60

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Solution

The fourth proportional to 13,039.95, 17,995.14 and 7,071.60 is: 9,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.95 : 17,995.14 = 7,071.60 : x
  2. Step 2: Convert to fraction form
    13,039.95/17,995.14 = 7,071.60/x
  3. Step 3: Cross multiply
    13,039.95x = 17,995.14 × 7,071.60
  4. Step 4: Simplify right side
    13,039.95x = 127,254,432.02
  5. Step 5: Solve for x
    x = 127,254,432.02/13,039.95
  6. Step 6: Final answer
    x = 9,758.81

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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.