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Finding the Fourth Proportional to 30,438, 45,657.02 and 9,661.50

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Solution

The fourth proportional to 30,438, 45,657.02 and 9,661.50 is: 14,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 45,657.02 = 9,661.50 : x
  2. Step 2: Convert to fraction form
    30,438/45,657.02 = 9,661.50/x
  3. Step 3: Cross multiply
    30,438x = 45,657.02 × 9,661.50
  4. Step 4: Simplify right side
    30,438x = 441,115,250.42
  5. Step 5: Solve for x
    x = 441,115,250.42/30,438
  6. Step 6: Final answer
    x = 14,492.25

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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.