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Finding the Fourth Proportional to 11,245, 15,510.04 and 7,888.57

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Solution

The fourth proportional to 11,245, 15,510.04 and 7,888.57 is: 10,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245 : 15,510.04 = 7,888.57 : x
  2. Step 2: Convert to fraction form
    11,245/15,510.04 = 7,888.57/x
  3. Step 3: Cross multiply
    11,245x = 15,510.04 × 7,888.57
  4. Step 4: Simplify right side
    11,245x = 122,352,036.24
  5. Step 5: Solve for x
    x = 122,352,036.24/11,245
  6. Step 6: Final answer
    x = 10,880.57

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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.