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Finding the Fourth Proportional to 14,118, 19,482.84 and 7,831.68

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Solution

The fourth proportional to 14,118, 19,482.84 and 7,831.68 is: 10,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118 : 19,482.84 = 7,831.68 : x
  2. Step 2: Convert to fraction form
    14,118/19,482.84 = 7,831.68/x
  3. Step 3: Cross multiply
    14,118x = 19,482.84 × 7,831.68
  4. Step 4: Simplify right side
    14,118x = 152,583,368.37
  5. Step 5: Solve for x
    x = 152,583,368.37/14,118
  6. Step 6: Final answer
    x = 10,807.72

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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.