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Finding the Fourth Proportional to 1,440.12, 1,985.88 and 967.50

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Solution

The fourth proportional to 1,440.12, 1,985.88 and 967.50 is: 1,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.12 : 1,985.88 = 967.50 : x
  2. Step 2: Convert to fraction form
    1,440.12/1,985.88 = 967.50/x
  3. Step 3: Cross multiply
    1,440.12x = 1,985.88 × 967.50
  4. Step 4: Simplify right side
    1,440.12x = 1,921,338.90
  5. Step 5: Solve for x
    x = 1,921,338.90/1,440.12
  6. Step 6: Final answer
    x = 1,334.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.