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Finding the Fourth Proportional to 8,437.78, 12,656.85 and 2,897.50

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Solution

The fourth proportional to 8,437.78, 12,656.85 and 2,897.50 is: 4,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.78 : 12,656.85 = 2,897.50 : x
  2. Step 2: Convert to fraction form
    8,437.78/12,656.85 = 2,897.50/x
  3. Step 3: Cross multiply
    8,437.78x = 12,656.85 × 2,897.50
  4. Step 4: Simplify right side
    8,437.78x = 36,673,222.88
  5. Step 5: Solve for x
    x = 36,673,222.88/8,437.78
  6. Step 6: Final answer
    x = 4,346.31

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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.