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Finding the Fourth Proportional to 19,678.76, 29,518.38 and 11,465

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Solution

The fourth proportional to 19,678.76, 29,518.38 and 11,465 is: 17,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.76 : 29,518.38 = 11,465 : x
  2. Step 2: Convert to fraction form
    19,678.76/29,518.38 = 11,465/x
  3. Step 3: Cross multiply
    19,678.76x = 29,518.38 × 11,465
  4. Step 4: Simplify right side
    19,678.76x = 338,428,226.70
  5. Step 5: Solve for x
    x = 338,428,226.70/19,678.76
  6. Step 6: Final answer
    x = 17,197.64

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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.