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Finding the Fourth Proportional to 15,823.94, 21,837.57 and 8,749.94

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Solution

The fourth proportional to 15,823.94, 21,837.57 and 8,749.94 is: 12,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.94 : 21,837.57 = 8,749.94 : x
  2. Step 2: Convert to fraction form
    15,823.94/21,837.57 = 8,749.94/x
  3. Step 3: Cross multiply
    15,823.94x = 21,837.57 × 8,749.94
  4. Step 4: Simplify right side
    15,823.94x = 191,077,427.25
  5. Step 5: Solve for x
    x = 191,077,427.25/15,823.94
  6. Step 6: Final answer
    x = 12,075.21

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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.