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Finding the Fourth Proportional to 10,145.41, 13,999.41 and 5,669.02

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Solution

The fourth proportional to 10,145.41, 13,999.41 and 5,669.02 is: 7,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.41 : 13,999.41 = 5,669.02 : x
  2. Step 2: Convert to fraction form
    10,145.41/13,999.41 = 5,669.02/x
  3. Step 3: Cross multiply
    10,145.41x = 13,999.41 × 5,669.02
  4. Step 4: Simplify right side
    10,145.41x = 79,362,935.28
  5. Step 5: Solve for x
    x = 79,362,935.28/10,145.41
  6. Step 6: Final answer
    x = 7,822.55

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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.