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Finding the Fourth Proportional to 5,335, 8,005.40 and 2,599

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Solution

The fourth proportional to 5,335, 8,005.40 and 2,599 is: 3,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335 : 8,005.40 = 2,599 : x
  2. Step 2: Convert to fraction form
    5,335/8,005.40 = 2,599/x
  3. Step 3: Cross multiply
    5,335x = 8,005.40 × 2,599
  4. Step 4: Simplify right side
    5,335x = 20,806,034.60
  5. Step 5: Solve for x
    x = 20,806,034.60/5,335
  6. Step 6: Final answer
    x = 3,899.91

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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.