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Finding the Fourth Proportional to 19,813.52, 29,543.14 and 19,269.20

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Solution

The fourth proportional to 19,813.52, 29,543.14 and 19,269.20 is: 28,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.52 : 29,543.14 = 19,269.20 : x
  2. Step 2: Convert to fraction form
    19,813.52/29,543.14 = 19,269.20/x
  3. Step 3: Cross multiply
    19,813.52x = 29,543.14 × 19,269.20
  4. Step 4: Simplify right side
    19,813.52x = 569,272,673.29
  5. Step 5: Solve for x
    x = 569,272,673.29/19,813.52
  6. Step 6: Final answer
    x = 28,731.53

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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.