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Finding the Fourth Proportional to 7,231.34, 9,985.16 and 5,345.06

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Solution

The fourth proportional to 7,231.34, 9,985.16 and 5,345.06 is: 7,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.34 : 9,985.16 = 5,345.06 : x
  2. Step 2: Convert to fraction form
    7,231.34/9,985.16 = 5,345.06/x
  3. Step 3: Cross multiply
    7,231.34x = 9,985.16 × 5,345.06
  4. Step 4: Simplify right side
    7,231.34x = 53,371,242.75
  5. Step 5: Solve for x
    x = 53,371,242.75/7,231.34
  6. Step 6: Final answer
    x = 7,380.54

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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.