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Finding the Fourth Proportional to 28,339.54, 42,513.02 and 9,357.86

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Solution

The fourth proportional to 28,339.54, 42,513.02 and 9,357.86 is: 14,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,339.54 : 42,513.02 = 9,357.86 : x
  2. Step 2: Convert to fraction form
    28,339.54/42,513.02 = 9,357.86/x
  3. Step 3: Cross multiply
    28,339.54x = 42,513.02 × 9,357.86
  4. Step 4: Simplify right side
    28,339.54x = 397,830,889.34
  5. Step 5: Solve for x
    x = 397,830,889.34/28,339.54
  6. Step 6: Final answer
    x = 14,038.02

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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.