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Finding the Fourth Proportional to 11,148.65, 15,373.65 and 7,790.24

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Solution

The fourth proportional to 11,148.65, 15,373.65 and 7,790.24 is: 10,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.65 : 15,373.65 = 7,790.24 : x
  2. Step 2: Convert to fraction form
    11,148.65/15,373.65 = 7,790.24/x
  3. Step 3: Cross multiply
    11,148.65x = 15,373.65 × 7,790.24
  4. Step 4: Simplify right side
    11,148.65x = 119,764,346.31
  5. Step 5: Solve for x
    x = 119,764,346.31/11,148.65
  6. Step 6: Final answer
    x = 10,742.50

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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.