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Finding the Fourth Proportional to 7,771.58, 11,659.75 and 4,655.10

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Solution

The fourth proportional to 7,771.58, 11,659.75 and 4,655.10 is: 6,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.58 : 11,659.75 = 4,655.10 : x
  2. Step 2: Convert to fraction form
    7,771.58/11,659.75 = 4,655.10/x
  3. Step 3: Cross multiply
    7,771.58x = 11,659.75 × 4,655.10
  4. Step 4: Simplify right side
    7,771.58x = 54,277,302.23
  5. Step 5: Solve for x
    x = 54,277,302.23/7,771.58
  6. Step 6: Final answer
    x = 6,984.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.