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Finding the Fourth Proportional to 13,997, 19,315.86 and 7,709.52

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Solution

The fourth proportional to 13,997, 19,315.86 and 7,709.52 is: 10,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997 : 19,315.86 = 7,709.52 : x
  2. Step 2: Convert to fraction form
    13,997/19,315.86 = 7,709.52/x
  3. Step 3: Cross multiply
    13,997x = 19,315.86 × 7,709.52
  4. Step 4: Simplify right side
    13,997x = 148,916,008.99
  5. Step 5: Solve for x
    x = 148,916,008.99/13,997
  6. Step 6: Final answer
    x = 10,639.14

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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.