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Finding the Fourth Proportional to 11,530.59, 15,904.04 and 7,700.31

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Solution

The fourth proportional to 11,530.59, 15,904.04 and 7,700.31 is: 10,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.59 : 15,904.04 = 7,700.31 : x
  2. Step 2: Convert to fraction form
    11,530.59/15,904.04 = 7,700.31/x
  3. Step 3: Cross multiply
    11,530.59x = 15,904.04 × 7,700.31
  4. Step 4: Simplify right side
    11,530.59x = 122,465,999.75
  5. Step 5: Solve for x
    x = 122,465,999.75/11,530.59
  6. Step 6: Final answer
    x = 10,620.97

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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.