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Finding the Fourth Proportional to 8,549.40, 12,823.95 and 7,085.46

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Solution

The fourth proportional to 8,549.40, 12,823.95 and 7,085.46 is: 10,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.40 : 12,823.95 = 7,085.46 : x
  2. Step 2: Convert to fraction form
    8,549.40/12,823.95 = 7,085.46/x
  3. Step 3: Cross multiply
    8,549.40x = 12,823.95 × 7,085.46
  4. Step 4: Simplify right side
    8,549.40x = 90,863,584.77
  5. Step 5: Solve for x
    x = 90,863,584.77/8,549.40
  6. Step 6: Final answer
    x = 10,628.07

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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.