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Finding the Fourth Proportional to 7,188.54, 9,926.72 and 5,417.07

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Solution

The fourth proportional to 7,188.54, 9,926.72 and 5,417.07 is: 7,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.54 : 9,926.72 = 5,417.07 : x
  2. Step 2: Convert to fraction form
    7,188.54/9,926.72 = 5,417.07/x
  3. Step 3: Cross multiply
    7,188.54x = 9,926.72 × 5,417.07
  4. Step 4: Simplify right side
    7,188.54x = 53,773,737.11
  5. Step 5: Solve for x
    x = 53,773,737.11/7,188.54
  6. Step 6: Final answer
    x = 7,480.48

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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.