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Finding the Fourth Proportional to 10,762.74, 16,128.78 and 7,929.29

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Solution

The fourth proportional to 10,762.74, 16,128.78 and 7,929.29 is: 11,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.74 : 16,128.78 = 7,929.29 : x
  2. Step 2: Convert to fraction form
    10,762.74/16,128.78 = 7,929.29/x
  3. Step 3: Cross multiply
    10,762.74x = 16,128.78 × 7,929.29
  4. Step 4: Simplify right side
    10,762.74x = 127,889,827.98
  5. Step 5: Solve for x
    x = 127,889,827.98/10,762.74
  6. Step 6: Final answer
    x = 11,882.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.