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Finding the Fourth Proportional to 7,130.54, 9,842.85 and 6,383.15

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Solution

The fourth proportional to 7,130.54, 9,842.85 and 6,383.15 is: 8,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.54 : 9,842.85 = 6,383.15 : x
  2. Step 2: Convert to fraction form
    7,130.54/9,842.85 = 6,383.15/x
  3. Step 3: Cross multiply
    7,130.54x = 9,842.85 × 6,383.15
  4. Step 4: Simplify right side
    7,130.54x = 62,828,375.67
  5. Step 5: Solve for x
    x = 62,828,375.67/7,130.54
  6. Step 6: Final answer
    x = 8,811.16

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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.