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Finding the Fourth Proportional to 28,365.50, 42,567.69 and 9,897.50

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Solution

The fourth proportional to 28,365.50, 42,567.69 and 9,897.50 is: 14,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,365.50 : 42,567.69 = 9,897.50 : x
  2. Step 2: Convert to fraction form
    28,365.50/42,567.69 = 9,897.50/x
  3. Step 3: Cross multiply
    28,365.50x = 42,567.69 × 9,897.50
  4. Step 4: Simplify right side
    28,365.50x = 421,313,711.78
  5. Step 5: Solve for x
    x = 421,313,711.78/28,365.50
  6. Step 6: Final answer
    x = 14,853.03

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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.