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Finding the Fourth Proportional to 19,486.80, 29,235 and 5,637.20

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Solution

The fourth proportional to 19,486.80, 29,235 and 5,637.20 is: 8,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486.80 : 29,235 = 5,637.20 : x
  2. Step 2: Convert to fraction form
    19,486.80/29,235 = 5,637.20/x
  3. Step 3: Cross multiply
    19,486.80x = 29,235 × 5,637.20
  4. Step 4: Simplify right side
    19,486.80x = 164,803,542
  5. Step 5: Solve for x
    x = 164,803,542/19,486.80
  6. Step 6: Final answer
    x = 8,457.19

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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.