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Finding the Fourth Proportional to 19,782.92, 27,300.45 and 10,830.48

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Solution

The fourth proportional to 19,782.92, 27,300.45 and 10,830.48 is: 14,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.92 : 27,300.45 = 10,830.48 : x
  2. Step 2: Convert to fraction form
    19,782.92/27,300.45 = 10,830.48/x
  3. Step 3: Cross multiply
    19,782.92x = 27,300.45 × 10,830.48
  4. Step 4: Simplify right side
    19,782.92x = 295,676,977.72
  5. Step 5: Solve for x
    x = 295,676,977.72/19,782.92
  6. Step 6: Final answer
    x = 14,946.08

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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.