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Finding the Fourth Proportional to 21,885.64, 32,828.46 and 9,565

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Solution

The fourth proportional to 21,885.64, 32,828.46 and 9,565 is: 14,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885.64 : 32,828.46 = 9,565 : x
  2. Step 2: Convert to fraction form
    21,885.64/32,828.46 = 9,565/x
  3. Step 3: Cross multiply
    21,885.64x = 32,828.46 × 9,565
  4. Step 4: Simplify right side
    21,885.64x = 314,004,219.90
  5. Step 5: Solve for x
    x = 314,004,219.90/21,885.64
  6. Step 6: Final answer
    x = 14,347.50

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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.