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Finding the Fourth Proportional to 9,689.59, 13,379.07 and 7,043.32

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Solution

The fourth proportional to 9,689.59, 13,379.07 and 7,043.32 is: 9,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.59 : 13,379.07 = 7,043.32 : x
  2. Step 2: Convert to fraction form
    9,689.59/13,379.07 = 7,043.32/x
  3. Step 3: Cross multiply
    9,689.59x = 13,379.07 × 7,043.32
  4. Step 4: Simplify right side
    9,689.59x = 94,233,071.31
  5. Step 5: Solve for x
    x = 94,233,071.31/9,689.59
  6. Step 6: Final answer
    x = 9,725.19

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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.