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Finding the Fourth Proportional to 9,342.93, 12,904.41 and 6,821

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Solution

The fourth proportional to 9,342.93, 12,904.41 and 6,821 is: 9,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.93 : 12,904.41 = 6,821 : x
  2. Step 2: Convert to fraction form
    9,342.93/12,904.41 = 6,821/x
  3. Step 3: Cross multiply
    9,342.93x = 12,904.41 × 6,821
  4. Step 4: Simplify right side
    9,342.93x = 88,020,980.61
  5. Step 5: Solve for x
    x = 88,020,980.61/9,342.93
  6. Step 6: Final answer
    x = 9,421.13

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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.