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Finding the Fourth Proportional to 6,289.61, 9,437.00 and 2,777.76

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Solution

The fourth proportional to 6,289.61, 9,437.00 and 2,777.76 is: 4,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.61 : 9,437.00 = 2,777.76 : x
  2. Step 2: Convert to fraction form
    6,289.61/9,437.00 = 2,777.76/x
  3. Step 3: Cross multiply
    6,289.61x = 9,437.00 × 2,777.76
  4. Step 4: Simplify right side
    6,289.61x = 26,213,707.23
  5. Step 5: Solve for x
    x = 26,213,707.23/6,289.61
  6. Step 6: Final answer
    x = 4,167.78

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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.