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Finding the Fourth Proportional to 19,490, 29,235 and 5,640.08

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Solution

The fourth proportional to 19,490, 29,235 and 5,640.08 is: 8,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,490 : 29,235 = 5,640.08 : x
  2. Step 2: Convert to fraction form
    19,490/29,235 = 5,640.08/x
  3. Step 3: Cross multiply
    19,490x = 29,235 × 5,640.08
  4. Step 4: Simplify right side
    19,490x = 164,887,738.80
  5. Step 5: Solve for x
    x = 164,887,738.80/19,490
  6. Step 6: Final answer
    x = 8,460.12

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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.