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Finding the Fourth Proportional to 28,565, 39,419.70 and 15,989.84

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Solution

The fourth proportional to 28,565, 39,419.70 and 15,989.84 is: 22,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565 : 39,419.70 = 15,989.84 : x
  2. Step 2: Convert to fraction form
    28,565/39,419.70 = 15,989.84/x
  3. Step 3: Cross multiply
    28,565x = 39,419.70 × 15,989.84
  4. Step 4: Simplify right side
    28,565x = 630,314,695.85
  5. Step 5: Solve for x
    x = 630,314,695.85/28,565
  6. Step 6: Final answer
    x = 22,065.98

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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.