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Finding the Fourth Proportional to 7,154, 9,876.36 and 5,578.32

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Solution

The fourth proportional to 7,154, 9,876.36 and 5,578.32 is: 7,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154 : 9,876.36 = 5,578.32 : x
  2. Step 2: Convert to fraction form
    7,154/9,876.36 = 5,578.32/x
  3. Step 3: Cross multiply
    7,154x = 9,876.36 × 5,578.32
  4. Step 4: Simplify right side
    7,154x = 55,093,496.52
  5. Step 5: Solve for x
    x = 55,093,496.52/7,154
  6. Step 6: Final answer
    x = 7,701.08

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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.