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Finding the Fourth Proportional to 19,803.86, 29,707.12 and 7,323.58

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Solution

The fourth proportional to 19,803.86, 29,707.12 and 7,323.58 is: 10,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.86 : 29,707.12 = 7,323.58 : x
  2. Step 2: Convert to fraction form
    19,803.86/29,707.12 = 7,323.58/x
  3. Step 3: Cross multiply
    19,803.86x = 29,707.12 × 7,323.58
  4. Step 4: Simplify right side
    19,803.86x = 217,562,516.18
  5. Step 5: Solve for x
    x = 217,562,516.18/19,803.86
  6. Step 6: Final answer
    x = 10,985.86

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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.