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Finding the Fourth Proportional to 9,235.68, 12,741.48 and 6,442.80

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Solution

The fourth proportional to 9,235.68, 12,741.48 and 6,442.80 is: 8,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.68 : 12,741.48 = 6,442.80 : x
  2. Step 2: Convert to fraction form
    9,235.68/12,741.48 = 6,442.80/x
  3. Step 3: Cross multiply
    9,235.68x = 12,741.48 × 6,442.80
  4. Step 4: Simplify right side
    9,235.68x = 82,090,807.34
  5. Step 5: Solve for x
    x = 82,090,807.34/9,235.68
  6. Step 6: Final answer
    x = 8,888.44

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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.