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Finding the Fourth Proportional to 15,804.92, 21,814.86 and 9,841.40

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Solution

The fourth proportional to 15,804.92, 21,814.86 and 9,841.40 is: 13,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.92 : 21,814.86 = 9,841.40 : x
  2. Step 2: Convert to fraction form
    15,804.92/21,814.86 = 9,841.40/x
  3. Step 3: Cross multiply
    15,804.92x = 21,814.86 × 9,841.40
  4. Step 4: Simplify right side
    15,804.92x = 214,688,763.20
  5. Step 5: Solve for x
    x = 214,688,763.20/15,804.92
  6. Step 6: Final answer
    x = 13,583.67

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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.