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Finding the Fourth Proportional to 9,929.78, 13,703.09 and 5,953.20

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Solution

The fourth proportional to 9,929.78, 13,703.09 and 5,953.20 is: 8,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.78 : 13,703.09 = 5,953.20 : x
  2. Step 2: Convert to fraction form
    9,929.78/13,703.09 = 5,953.20/x
  3. Step 3: Cross multiply
    9,929.78x = 13,703.09 × 5,953.20
  4. Step 4: Simplify right side
    9,929.78x = 81,577,200.28
  5. Step 5: Solve for x
    x = 81,577,200.28/9,929.78
  6. Step 6: Final answer
    x = 8,215.41

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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.