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Finding the Fourth Proportional to 19,831.60, 29,739.68 and 9,964

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Solution

The fourth proportional to 19,831.60, 29,739.68 and 9,964 is: 14,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.60 : 29,739.68 = 9,964 : x
  2. Step 2: Convert to fraction form
    19,831.60/29,739.68 = 9,964/x
  3. Step 3: Cross multiply
    19,831.60x = 29,739.68 × 9,964
  4. Step 4: Simplify right side
    19,831.60x = 296,326,171.52
  5. Step 5: Solve for x
    x = 296,326,171.52/19,831.60
  6. Step 6: Final answer
    x = 14,942.12

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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.