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Finding the Fourth Proportional to 8,486.47, 11,710.92 and 4,709.59

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Solution

The fourth proportional to 8,486.47, 11,710.92 and 4,709.59 is: 6,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.47 : 11,710.92 = 4,709.59 : x
  2. Step 2: Convert to fraction form
    8,486.47/11,710.92 = 4,709.59/x
  3. Step 3: Cross multiply
    8,486.47x = 11,710.92 × 4,709.59
  4. Step 4: Simplify right side
    8,486.47x = 55,153,602.45
  5. Step 5: Solve for x
    x = 55,153,602.45/8,486.47
  6. Step 6: Final answer
    x = 6,499.01

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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.