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Finding the Fourth Proportional to 9,873.02, 14,831.40 and 8,429.60

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Solution

The fourth proportional to 9,873.02, 14,831.40 and 8,429.60 is: 12,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.02 : 14,831.40 = 8,429.60 : x
  2. Step 2: Convert to fraction form
    9,873.02/14,831.40 = 8,429.60/x
  3. Step 3: Cross multiply
    9,873.02x = 14,831.40 × 8,429.60
  4. Step 4: Simplify right side
    9,873.02x = 125,022,769.44
  5. Step 5: Solve for x
    x = 125,022,769.44/9,873.02
  6. Step 6: Final answer
    x = 12,663.07

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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.