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Finding the Fourth Proportional to 20,459.92, 30,696.36 and 7,312

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Solution

The fourth proportional to 20,459.92, 30,696.36 and 7,312 is: 10,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.92 : 30,696.36 = 7,312 : x
  2. Step 2: Convert to fraction form
    20,459.92/30,696.36 = 7,312/x
  3. Step 3: Cross multiply
    20,459.92x = 30,696.36 × 7,312
  4. Step 4: Simplify right side
    20,459.92x = 224,451,784.32
  5. Step 5: Solve for x
    x = 224,451,784.32/20,459.92
  6. Step 6: Final answer
    x = 10,970.32

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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.