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Finding the Fourth Proportional to 10,123.89, 13,971.89 and 6,146.01

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Solution

The fourth proportional to 10,123.89, 13,971.89 and 6,146.01 is: 8,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.89 : 13,971.89 = 6,146.01 : x
  2. Step 2: Convert to fraction form
    10,123.89/13,971.89 = 6,146.01/x
  3. Step 3: Cross multiply
    10,123.89x = 13,971.89 × 6,146.01
  4. Step 4: Simplify right side
    10,123.89x = 85,871,344.93
  5. Step 5: Solve for x
    x = 85,871,344.93/10,123.89
  6. Step 6: Final answer
    x = 8,482.05

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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.