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Finding the Fourth Proportional to 19,358, 28,990.23 and 11,012.71

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Solution

The fourth proportional to 19,358, 28,990.23 and 11,012.71 is: 16,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,358 : 28,990.23 = 11,012.71 : x
  2. Step 2: Convert to fraction form
    19,358/28,990.23 = 11,012.71/x
  3. Step 3: Cross multiply
    19,358x = 28,990.23 × 11,012.71
  4. Step 4: Simplify right side
    19,358x = 319,260,995.82
  5. Step 5: Solve for x
    x = 319,260,995.82/19,358
  6. Step 6: Final answer
    x = 16,492.46

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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.