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Finding the Fourth Proportional to 14,204.81, 19,602.74 and 7,831.64

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Solution

The fourth proportional to 14,204.81, 19,602.74 and 7,831.64 is: 10,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.81 : 19,602.74 = 7,831.64 : x
  2. Step 2: Convert to fraction form
    14,204.81/19,602.74 = 7,831.64/x
  3. Step 3: Cross multiply
    14,204.81x = 19,602.74 × 7,831.64
  4. Step 4: Simplify right side
    14,204.81x = 153,521,671.28
  5. Step 5: Solve for x
    x = 153,521,671.28/14,204.81
  6. Step 6: Final answer
    x = 10,807.72

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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.