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Finding the Fourth Proportional to 9,824.64, 13,545 and 8,139.84

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Solution

The fourth proportional to 9,824.64, 13,545 and 8,139.84 is: 11,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.64 : 13,545 = 8,139.84 : x
  2. Step 2: Convert to fraction form
    9,824.64/13,545 = 8,139.84/x
  3. Step 3: Cross multiply
    9,824.64x = 13,545 × 8,139.84
  4. Step 4: Simplify right side
    9,824.64x = 110,254,132.80
  5. Step 5: Solve for x
    x = 110,254,132.80/9,824.64
  6. Step 6: Final answer
    x = 11,222.21

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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.