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Finding the Fourth Proportional to 9,342.50, 12,888.50 and 6,151.68

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Solution

The fourth proportional to 9,342.50, 12,888.50 and 6,151.68 is: 8,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.50 : 12,888.50 = 6,151.68 : x
  2. Step 2: Convert to fraction form
    9,342.50/12,888.50 = 6,151.68/x
  3. Step 3: Cross multiply
    9,342.50x = 12,888.50 × 6,151.68
  4. Step 4: Simplify right side
    9,342.50x = 79,285,896.92
  5. Step 5: Solve for x
    x = 79,285,896.92/9,342.50
  6. Step 6: Final answer
    x = 8,486.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.