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Finding the Fourth Proportional to 13,953.76, 19,252.86 and 7,904.14

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Solution

The fourth proportional to 13,953.76, 19,252.86 and 7,904.14 is: 10,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.76 : 19,252.86 = 7,904.14 : x
  2. Step 2: Convert to fraction form
    13,953.76/19,252.86 = 7,904.14/x
  3. Step 3: Cross multiply
    13,953.76x = 19,252.86 × 7,904.14
  4. Step 4: Simplify right side
    13,953.76x = 152,177,223.07
  5. Step 5: Solve for x
    x = 152,177,223.07/13,953.76
  6. Step 6: Final answer
    x = 10,905.82

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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.