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Finding the Fourth Proportional to 14,357.68, 19,813.62 and 7,984.14

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Solution

The fourth proportional to 14,357.68, 19,813.62 and 7,984.14 is: 11,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.68 : 19,813.62 = 7,984.14 : x
  2. Step 2: Convert to fraction form
    14,357.68/19,813.62 = 7,984.14/x
  3. Step 3: Cross multiply
    14,357.68x = 19,813.62 × 7,984.14
  4. Step 4: Simplify right side
    14,357.68x = 158,194,715.99
  5. Step 5: Solve for x
    x = 158,194,715.99/14,357.68
  6. Step 6: Final answer
    x = 11,018.13

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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.