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Finding the Fourth Proportional to 14,102.68, 19,461.14 and 7,815.46

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Solution

The fourth proportional to 14,102.68, 19,461.14 and 7,815.46 is: 10,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.68 : 19,461.14 = 7,815.46 : x
  2. Step 2: Convert to fraction form
    14,102.68/19,461.14 = 7,815.46/x
  3. Step 3: Cross multiply
    14,102.68x = 19,461.14 × 7,815.46
  4. Step 4: Simplify right side
    14,102.68x = 152,097,761.22
  5. Step 5: Solve for x
    x = 152,097,761.22/14,102.68
  6. Step 6: Final answer
    x = 10,785.03

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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.