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Finding the Fourth Proportional to 19,664.20, 29,463.90 and 9,782.20

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Solution

The fourth proportional to 19,664.20, 29,463.90 and 9,782.20 is: 14,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.20 : 29,463.90 = 9,782.20 : x
  2. Step 2: Convert to fraction form
    19,664.20/29,463.90 = 9,782.20/x
  3. Step 3: Cross multiply
    19,664.20x = 29,463.90 × 9,782.20
  4. Step 4: Simplify right side
    19,664.20x = 288,221,762.58
  5. Step 5: Solve for x
    x = 288,221,762.58/19,664.20
  6. Step 6: Final answer
    x = 14,657.18

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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.