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Finding the Fourth Proportional to 19,316.40, 28,978.80 and 11,000.40

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Solution

The fourth proportional to 19,316.40, 28,978.80 and 11,000.40 is: 16,502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316.40 : 28,978.80 = 11,000.40 : x
  2. Step 2: Convert to fraction form
    19,316.40/28,978.80 = 11,000.40/x
  3. Step 3: Cross multiply
    19,316.40x = 28,978.80 × 11,000.40
  4. Step 4: Simplify right side
    19,316.40x = 318,778,391.52
  5. Step 5: Solve for x
    x = 318,778,391.52/19,316.40
  6. Step 6: Final answer
    x = 16,502.99

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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.