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Finding the Fourth Proportional to 9,717.40, 14,579.70 and 9,357.40

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Solution

The fourth proportional to 9,717.40, 14,579.70 and 9,357.40 is: 14,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.40 : 14,579.70 = 9,357.40 : x
  2. Step 2: Convert to fraction form
    9,717.40/14,579.70 = 9,357.40/x
  3. Step 3: Cross multiply
    9,717.40x = 14,579.70 × 9,357.40
  4. Step 4: Simplify right side
    9,717.40x = 136,428,084.78
  5. Step 5: Solve for x
    x = 136,428,084.78/9,717.40
  6. Step 6: Final answer
    x = 14,039.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.