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Finding the Fourth Proportional to 28,585.50, 42,880.14 and 7,809

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Solution

The fourth proportional to 28,585.50, 42,880.14 and 7,809 is: 11,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,585.50 : 42,880.14 = 7,809 : x
  2. Step 2: Convert to fraction form
    28,585.50/42,880.14 = 7,809/x
  3. Step 3: Cross multiply
    28,585.50x = 42,880.14 × 7,809
  4. Step 4: Simplify right side
    28,585.50x = 334,851,013.26
  5. Step 5: Solve for x
    x = 334,851,013.26/28,585.50
  6. Step 6: Final answer
    x = 11,714.02

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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.