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Finding the Fourth Proportional to 9,787.09, 13,506.11 and 5,538.12

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Solution

The fourth proportional to 9,787.09, 13,506.11 and 5,538.12 is: 7,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.09 : 13,506.11 = 5,538.12 : x
  2. Step 2: Convert to fraction form
    9,787.09/13,506.11 = 5,538.12/x
  3. Step 3: Cross multiply
    9,787.09x = 13,506.11 × 5,538.12
  4. Step 4: Simplify right side
    9,787.09x = 74,798,457.91
  5. Step 5: Solve for x
    x = 74,798,457.91/9,787.09
  6. Step 6: Final answer
    x = 7,642.56

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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.