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Finding the Fourth Proportional to 15,465, 23,178.48 and 7,133.44

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Solution

The fourth proportional to 15,465, 23,178.48 and 7,133.44 is: 10,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 23,178.48 = 7,133.44 : x
  2. Step 2: Convert to fraction form
    15,465/23,178.48 = 7,133.44/x
  3. Step 3: Cross multiply
    15,465x = 23,178.48 × 7,133.44
  4. Step 4: Simplify right side
    15,465x = 165,342,296.37
  5. Step 5: Solve for x
    x = 165,342,296.37/15,465
  6. Step 6: Final answer
    x = 10,691.39

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1.5x scale

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.