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Finding the Fourth Proportional to 15,465, 23,209.79 and 5,607.09

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Solution

The fourth proportional to 15,465, 23,209.79 and 5,607.09 is: 8,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 23,209.79 = 5,607.09 : x
  2. Step 2: Convert to fraction form
    15,465/23,209.79 = 5,607.09/x
  3. Step 3: Cross multiply
    15,465x = 23,209.79 × 5,607.09
  4. Step 4: Simplify right side
    15,465x = 130,139,395.43
  5. Step 5: Solve for x
    x = 130,139,395.43/15,465
  6. Step 6: Final answer
    x = 8,415.09

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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.