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Finding the Fourth Proportional to 21,685.16, 32,502.64 and 9,973.80

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Solution

The fourth proportional to 21,685.16, 32,502.64 and 9,973.80 is: 14,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.16 : 32,502.64 = 9,973.80 : x
  2. Step 2: Convert to fraction form
    21,685.16/32,502.64 = 9,973.80/x
  3. Step 3: Cross multiply
    21,685.16x = 32,502.64 × 9,973.80
  4. Step 4: Simplify right side
    21,685.16x = 324,174,830.83
  5. Step 5: Solve for x
    x = 324,174,830.83/21,685.16
  6. Step 6: Final answer
    x = 14,949.16

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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.