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Finding the Fourth Proportional to 10,010.63, 13,804.65 and 7,771.70

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Solution

The fourth proportional to 10,010.63, 13,804.65 and 7,771.70 is: 10,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.63 : 13,804.65 = 7,771.70 : x
  2. Step 2: Convert to fraction form
    10,010.63/13,804.65 = 7,771.70/x
  3. Step 3: Cross multiply
    10,010.63x = 13,804.65 × 7,771.70
  4. Step 4: Simplify right side
    10,010.63x = 107,285,632.92
  5. Step 5: Solve for x
    x = 107,285,632.92/10,010.63
  6. Step 6: Final answer
    x = 10,717.17

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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.