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Finding the Fourth Proportional to 23,565, 32,520.46 and 12,955.40

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Solution

The fourth proportional to 23,565, 32,520.46 and 12,955.40 is: 17,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565 : 32,520.46 = 12,955.40 : x
  2. Step 2: Convert to fraction form
    23,565/32,520.46 = 12,955.40/x
  3. Step 3: Cross multiply
    23,565x = 32,520.46 × 12,955.40
  4. Step 4: Simplify right side
    23,565x = 421,315,567.48
  5. Step 5: Solve for x
    x = 421,315,567.48/23,565
  6. Step 6: Final answer
    x = 17,878.87

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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.