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Finding the Fourth Proportional to 19,955.76, 29,942.28 and 7,652.40

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Solution

The fourth proportional to 19,955.76, 29,942.28 and 7,652.40 is: 11,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,955.76 : 29,942.28 = 7,652.40 : x
  2. Step 2: Convert to fraction form
    19,955.76/29,942.28 = 7,652.40/x
  3. Step 3: Cross multiply
    19,955.76x = 29,942.28 × 7,652.40
  4. Step 4: Simplify right side
    19,955.76x = 229,130,303.47
  5. Step 5: Solve for x
    x = 229,130,303.47/19,955.76
  6. Step 6: Final answer
    x = 11,481.91

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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.