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Finding the Fourth Proportional to 9,166.50, 12,653.05 and 5,440.50

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Solution

The fourth proportional to 9,166.50, 12,653.05 and 5,440.50 is: 7,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.50 : 12,653.05 = 5,440.50 : x
  2. Step 2: Convert to fraction form
    9,166.50/12,653.05 = 5,440.50/x
  3. Step 3: Cross multiply
    9,166.50x = 12,653.05 × 5,440.50
  4. Step 4: Simplify right side
    9,166.50x = 68,838,918.53
  5. Step 5: Solve for x
    x = 68,838,918.53/9,166.50
  6. Step 6: Final answer
    x = 7,509.84

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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.