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Finding the Fourth Proportional to 28,038, 42,063.69 and 9,570

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Solution

The fourth proportional to 28,038, 42,063.69 and 9,570 is: 14,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,038 : 42,063.69 = 9,570 : x
  2. Step 2: Convert to fraction form
    28,038/42,063.69 = 9,570/x
  3. Step 3: Cross multiply
    28,038x = 42,063.69 × 9,570
  4. Step 4: Simplify right side
    28,038x = 402,549,513.30
  5. Step 5: Solve for x
    x = 402,549,513.30/28,038
  6. Step 6: Final answer
    x = 14,357.28

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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.