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Finding the Fourth Proportional to 11,493.60, 15,860.52 and 7,015.92

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Solution

The fourth proportional to 11,493.60, 15,860.52 and 7,015.92 is: 9,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.60 : 15,860.52 = 7,015.92 : x
  2. Step 2: Convert to fraction form
    11,493.60/15,860.52 = 7,015.92/x
  3. Step 3: Cross multiply
    11,493.60x = 15,860.52 × 7,015.92
  4. Step 4: Simplify right side
    11,493.60x = 111,276,139.48
  5. Step 5: Solve for x
    x = 111,276,139.48/11,493.60
  6. Step 6: Final answer
    x = 9,681.57

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1.5x scale

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.