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Finding the Fourth Proportional to 9,669, 13,343.76 and 5,478.60

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Solution

The fourth proportional to 9,669, 13,343.76 and 5,478.60 is: 7,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669 : 13,343.76 = 5,478.60 : x
  2. Step 2: Convert to fraction form
    9,669/13,343.76 = 5,478.60/x
  3. Step 3: Cross multiply
    9,669x = 13,343.76 × 5,478.60
  4. Step 4: Simplify right side
    9,669x = 73,105,123.54
  5. Step 5: Solve for x
    x = 73,105,123.54/9,669
  6. Step 6: Final answer
    x = 7,560.77

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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.