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Finding the Fourth Proportional to 13,937, 19,235.50 and 7,968.92

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Solution

The fourth proportional to 13,937, 19,235.50 and 7,968.92 is: 10,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937 : 19,235.50 = 7,968.92 : x
  2. Step 2: Convert to fraction form
    13,937/19,235.50 = 7,968.92/x
  3. Step 3: Cross multiply
    13,937x = 19,235.50 × 7,968.92
  4. Step 4: Simplify right side
    13,937x = 153,286,160.66
  5. Step 5: Solve for x
    x = 153,286,160.66/13,937
  6. Step 6: Final answer
    x = 10,998.50

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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.