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Finding the Fourth Proportional to 9,746.50, 13,450.18 and 5,330.50

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Solution

The fourth proportional to 9,746.50, 13,450.18 and 5,330.50 is: 7,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.50 : 13,450.18 = 5,330.50 : x
  2. Step 2: Convert to fraction form
    9,746.50/13,450.18 = 5,330.50/x
  3. Step 3: Cross multiply
    9,746.50x = 13,450.18 × 5,330.50
  4. Step 4: Simplify right side
    9,746.50x = 71,696,184.49
  5. Step 5: Solve for x
    x = 71,696,184.49/9,746.50
  6. Step 6: Final answer
    x = 7,356.10

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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.