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Finding the Fourth Proportional to 10,190, 14,085.74 and 8,501.56

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Solution

The fourth proportional to 10,190, 14,085.74 and 8,501.56 is: 11,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190 : 14,085.74 = 8,501.56 : x
  2. Step 2: Convert to fraction form
    10,190/14,085.74 = 8,501.56/x
  3. Step 3: Cross multiply
    10,190x = 14,085.74 × 8,501.56
  4. Step 4: Simplify right side
    10,190x = 119,750,763.75
  5. Step 5: Solve for x
    x = 119,750,763.75/10,190
  6. Step 6: Final answer
    x = 11,751.79

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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.