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Finding the Fourth Proportional to 8,355.84, 11,539.80 and 5,710.08

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Solution

The fourth proportional to 8,355.84, 11,539.80 and 5,710.08 is: 7,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.84 : 11,539.80 = 5,710.08 : x
  2. Step 2: Convert to fraction form
    8,355.84/11,539.80 = 5,710.08/x
  3. Step 3: Cross multiply
    8,355.84x = 11,539.80 × 5,710.08
  4. Step 4: Simplify right side
    8,355.84x = 65,893,181.18
  5. Step 5: Solve for x
    x = 65,893,181.18/8,355.84
  6. Step 6: Final answer
    x = 7,885.88

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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.