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Finding the Fourth Proportional to 19,618.18, 29,423 and 7,138.50

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Solution

The fourth proportional to 19,618.18, 29,423 and 7,138.50 is: 10,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618.18 : 29,423 = 7,138.50 : x
  2. Step 2: Convert to fraction form
    19,618.18/29,423 = 7,138.50/x
  3. Step 3: Cross multiply
    19,618.18x = 29,423 × 7,138.50
  4. Step 4: Simplify right side
    19,618.18x = 210,036,085.50
  5. Step 5: Solve for x
    x = 210,036,085.50/19,618.18
  6. Step 6: Final answer
    x = 10,706.20

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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.