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Finding the Fourth Proportional to 8,509.70, 12,766.55 and 8,368.50

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Solution

The fourth proportional to 8,509.70, 12,766.55 and 8,368.50 is: 12,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.70 : 12,766.55 = 8,368.50 : x
  2. Step 2: Convert to fraction form
    8,509.70/12,766.55 = 8,368.50/x
  3. Step 3: Cross multiply
    8,509.70x = 12,766.55 × 8,368.50
  4. Step 4: Simplify right side
    8,509.70x = 106,836,831.83
  5. Step 5: Solve for x
    x = 106,836,831.83/8,509.70
  6. Step 6: Final answer
    x = 12,554.72

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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.