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Finding the Fourth Proportional to 10,378.70, 14,322.92 and 5,903.09

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Solution

The fourth proportional to 10,378.70, 14,322.92 and 5,903.09 is: 8,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.70 : 14,322.92 = 5,903.09 : x
  2. Step 2: Convert to fraction form
    10,378.70/14,322.92 = 5,903.09/x
  3. Step 3: Cross multiply
    10,378.70x = 14,322.92 × 5,903.09
  4. Step 4: Simplify right side
    10,378.70x = 84,549,465.26
  5. Step 5: Solve for x
    x = 84,549,465.26/10,378.70
  6. Step 6: Final answer
    x = 8,146.44

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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.