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Finding the Fourth Proportional to 13,000.26, 17,940.35 and 7,335

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Solution

The fourth proportional to 13,000.26, 17,940.35 and 7,335 is: 10,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.26 : 17,940.35 = 7,335 : x
  2. Step 2: Convert to fraction form
    13,000.26/17,940.35 = 7,335/x
  3. Step 3: Cross multiply
    13,000.26x = 17,940.35 × 7,335
  4. Step 4: Simplify right side
    13,000.26x = 131,592,430.58
  5. Step 5: Solve for x
    x = 131,592,430.58/13,000.26
  6. Step 6: Final answer
    x = 10,122.29

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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.