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Finding the Fourth Proportional to 11,426.40, 15,768 and 7,447.68

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Solution

The fourth proportional to 11,426.40, 15,768 and 7,447.68 is: 10,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.40 : 15,768 = 7,447.68 : x
  2. Step 2: Convert to fraction form
    11,426.40/15,768 = 7,447.68/x
  3. Step 3: Cross multiply
    11,426.40x = 15,768 × 7,447.68
  4. Step 4: Simplify right side
    11,426.40x = 117,435,018.24
  5. Step 5: Solve for x
    x = 117,435,018.24/11,426.40
  6. Step 6: Final answer
    x = 10,277.52

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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.