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Finding the Fourth Proportional to 7,386.60, 11,080.62 and 3,437

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Solution

The fourth proportional to 7,386.60, 11,080.62 and 3,437 is: 5,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.60 : 11,080.62 = 3,437 : x
  2. Step 2: Convert to fraction form
    7,386.60/11,080.62 = 3,437/x
  3. Step 3: Cross multiply
    7,386.60x = 11,080.62 × 3,437
  4. Step 4: Simplify right side
    7,386.60x = 38,084,090.94
  5. Step 5: Solve for x
    x = 38,084,090.94/7,386.60
  6. Step 6: Final answer
    x = 5,155.84

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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.