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Finding the Fourth Proportional to 9,961, 13,746.18 and 5,545

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Solution

The fourth proportional to 9,961, 13,746.18 and 5,545 is: 7,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961 : 13,746.18 = 5,545 : x
  2. Step 2: Convert to fraction form
    9,961/13,746.18 = 5,545/x
  3. Step 3: Cross multiply
    9,961x = 13,746.18 × 5,545
  4. Step 4: Simplify right side
    9,961x = 76,222,568.10
  5. Step 5: Solve for x
    x = 76,222,568.10/9,961
  6. Step 6: Final answer
    x = 7,652.10

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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.