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Finding the Fourth Proportional to 13,902.16, 19,181.16 and 7,931.68

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Solution

The fourth proportional to 13,902.16, 19,181.16 and 7,931.68 is: 10,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.16 : 19,181.16 = 7,931.68 : x
  2. Step 2: Convert to fraction form
    13,902.16/19,181.16 = 7,931.68/x
  3. Step 3: Cross multiply
    13,902.16x = 19,181.16 × 7,931.68
  4. Step 4: Simplify right side
    13,902.16x = 152,138,823.15
  5. Step 5: Solve for x
    x = 152,138,823.15/13,902.16
  6. Step 6: Final answer
    x = 10,943.54

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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.