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Finding the Fourth Proportional to 19,615, 27,068.70 and 10,783

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Solution

The fourth proportional to 19,615, 27,068.70 and 10,783 is: 14,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615 : 27,068.70 = 10,783 : x
  2. Step 2: Convert to fraction form
    19,615/27,068.70 = 10,783/x
  3. Step 3: Cross multiply
    19,615x = 27,068.70 × 10,783
  4. Step 4: Simplify right side
    19,615x = 291,881,792.10
  5. Step 5: Solve for x
    x = 291,881,792.10/19,615
  6. Step 6: Final answer
    x = 14,880.54

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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.