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Finding the Fourth Proportional to 19,409.88, 28,970.81 and 16,730

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Solution

The fourth proportional to 19,409.88, 28,970.81 and 16,730 is: 24,970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.88 : 28,970.81 = 16,730 : x
  2. Step 2: Convert to fraction form
    19,409.88/28,970.81 = 16,730/x
  3. Step 3: Cross multiply
    19,409.88x = 28,970.81 × 16,730
  4. Step 4: Simplify right side
    19,409.88x = 484,681,651.30
  5. Step 5: Solve for x
    x = 484,681,651.30/19,409.88
  6. Step 6: Final answer
    x = 24,970.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.