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Finding the Fourth Proportional to 10,642.87, 15,950.60 and 9,978.56

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Solution

The fourth proportional to 10,642.87, 15,950.60 and 9,978.56 is: 14,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.87 : 15,950.60 = 9,978.56 : x
  2. Step 2: Convert to fraction form
    10,642.87/15,950.60 = 9,978.56/x
  3. Step 3: Cross multiply
    10,642.87x = 15,950.60 × 9,978.56
  4. Step 4: Simplify right side
    10,642.87x = 159,163,969.24
  5. Step 5: Solve for x
    x = 159,163,969.24/10,642.87
  6. Step 6: Final answer
    x = 14,954.98

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1.5x scale

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.