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Finding the Fourth Proportional to 9,851, 13,594.38 and 5,435

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Solution

The fourth proportional to 9,851, 13,594.38 and 5,435 is: 7,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851 : 13,594.38 = 5,435 : x
  2. Step 2: Convert to fraction form
    9,851/13,594.38 = 5,435/x
  3. Step 3: Cross multiply
    9,851x = 13,594.38 × 5,435
  4. Step 4: Simplify right side
    9,851x = 73,885,455.30
  5. Step 5: Solve for x
    x = 73,885,455.30/9,851
  6. Step 6: Final answer
    x = 7,500.30

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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.