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Finding the Fourth Proportional to 10,015.81, 13,807.08 and 7,884.49

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Solution

The fourth proportional to 10,015.81, 13,807.08 and 7,884.49 is: 10,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.81 : 13,807.08 = 7,884.49 : x
  2. Step 2: Convert to fraction form
    10,015.81/13,807.08 = 7,884.49/x
  3. Step 3: Cross multiply
    10,015.81x = 13,807.08 × 7,884.49
  4. Step 4: Simplify right side
    10,015.81x = 108,861,784.19
  5. Step 5: Solve for x
    x = 108,861,784.19/10,015.81
  6. Step 6: Final answer
    x = 10,868.99

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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.