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Finding the Fourth Proportional to 13,442.10, 18,543 and 7,988.07

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Solution

The fourth proportional to 13,442.10, 18,543 and 7,988.07 is: 11,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.10 : 18,543 = 7,988.07 : x
  2. Step 2: Convert to fraction form
    13,442.10/18,543 = 7,988.07/x
  3. Step 3: Cross multiply
    13,442.10x = 18,543 × 7,988.07
  4. Step 4: Simplify right side
    13,442.10x = 148,122,782.01
  5. Step 5: Solve for x
    x = 148,122,782.01/13,442.10
  6. Step 6: Final answer
    x = 11,019.32

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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.