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Finding the Fourth Proportional to 9,991, 13,787.58 and 5,575

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Solution

The fourth proportional to 9,991, 13,787.58 and 5,575 is: 7,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991 : 13,787.58 = 5,575 : x
  2. Step 2: Convert to fraction form
    9,991/13,787.58 = 5,575/x
  3. Step 3: Cross multiply
    9,991x = 13,787.58 × 5,575
  4. Step 4: Simplify right side
    9,991x = 76,865,758.50
  5. Step 5: Solve for x
    x = 76,865,758.50/9,991
  6. Step 6: Final answer
    x = 7,693.50

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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.