Home / 10,303.19-15,430-9,786.41

Finding the Fourth Proportional to 10,303.19, 15,430 and 9,786.41

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Solution

The fourth proportional to 10,303.19, 15,430 and 9,786.41 is: 14,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.19 : 15,430 = 9,786.41 : x
  2. Step 2: Convert to fraction form
    10,303.19/15,430 = 9,786.41/x
  3. Step 3: Cross multiply
    10,303.19x = 15,430 × 9,786.41
  4. Step 4: Simplify right side
    10,303.19x = 151,004,306.30
  5. Step 5: Solve for x
    x = 151,004,306.30/10,303.19
  6. Step 6: Final answer
    x = 14,656.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.