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Finding the Fourth Proportional to 32,632, 45,032.16 and 19,384

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Solution

The fourth proportional to 32,632, 45,032.16 and 19,384 is: 26,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632 : 45,032.16 = 19,384 : x
  2. Step 2: Convert to fraction form
    32,632/45,032.16 = 19,384/x
  3. Step 3: Cross multiply
    32,632x = 45,032.16 × 19,384
  4. Step 4: Simplify right side
    32,632x = 872,903,389.44
  5. Step 5: Solve for x
    x = 872,903,389.44/32,632
  6. Step 6: Final answer
    x = 26,749.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.