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Finding the Fourth Proportional to 14,298, 21,455.64 and 6,090

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Solution

The fourth proportional to 14,298, 21,455.64 and 6,090 is: 9,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298 : 21,455.64 = 6,090 : x
  2. Step 2: Convert to fraction form
    14,298/21,455.64 = 6,090/x
  3. Step 3: Cross multiply
    14,298x = 21,455.64 × 6,090
  4. Step 4: Simplify right side
    14,298x = 130,664,847.60
  5. Step 5: Solve for x
    x = 130,664,847.60/14,298
  6. Step 6: Final answer
    x = 9,138.68

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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.