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Finding the Fourth Proportional to 43,209, 64,813.50 and 14,025

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Solution

The fourth proportional to 43,209, 64,813.50 and 14,025 is: 21,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,209 : 64,813.50 = 14,025 : x
  2. Step 2: Convert to fraction form
    43,209/64,813.50 = 14,025/x
  3. Step 3: Cross multiply
    43,209x = 64,813.50 × 14,025
  4. Step 4: Simplify right side
    43,209x = 909,009,337.50
  5. Step 5: Solve for x
    x = 909,009,337.50/43,209
  6. Step 6: Final answer
    x = 21,037.50

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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.