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Finding the Fourth Proportional to 21,407.68, 32,108.28 and 7,365.52

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Solution

The fourth proportional to 21,407.68, 32,108.28 and 7,365.52 is: 11,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.68 : 32,108.28 = 7,365.52 : x
  2. Step 2: Convert to fraction form
    21,407.68/32,108.28 = 7,365.52/x
  3. Step 3: Cross multiply
    21,407.68x = 32,108.28 × 7,365.52
  4. Step 4: Simplify right side
    21,407.68x = 236,494,178.51
  5. Step 5: Solve for x
    x = 236,494,178.51/21,407.68
  6. Step 6: Final answer
    x = 11,047.17

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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.