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Finding the Fourth Proportional to 10,509.14, 15,671 and 9,992.36

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Solution

The fourth proportional to 10,509.14, 15,671 and 9,992.36 is: 14,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.14 : 15,671 = 9,992.36 : x
  2. Step 2: Convert to fraction form
    10,509.14/15,671 = 9,992.36/x
  3. Step 3: Cross multiply
    10,509.14x = 15,671 × 9,992.36
  4. Step 4: Simplify right side
    10,509.14x = 156,590,273.56
  5. Step 5: Solve for x
    x = 156,590,273.56/10,509.14
  6. Step 6: Final answer
    x = 14,900.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.