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Finding the Fourth Proportional to 7,985.30, 10,939.91 and 7,686.02

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Solution

The fourth proportional to 7,985.30, 10,939.91 and 7,686.02 is: 10,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.30 : 10,939.91 = 7,686.02 : x
  2. Step 2: Convert to fraction form
    7,985.30/10,939.91 = 7,686.02/x
  3. Step 3: Cross multiply
    7,985.30x = 10,939.91 × 7,686.02
  4. Step 4: Simplify right side
    7,985.30x = 84,084,367.06
  5. Step 5: Solve for x
    x = 84,084,367.06/7,985.30
  6. Step 6: Final answer
    x = 10,529.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.