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Finding the Fourth Proportional to 9,758.40, 14,644.80 and 6,470.40

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Solution

The fourth proportional to 9,758.40, 14,644.80 and 6,470.40 is: 9,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.40 : 14,644.80 = 6,470.40 : x
  2. Step 2: Convert to fraction form
    9,758.40/14,644.80 = 6,470.40/x
  3. Step 3: Cross multiply
    9,758.40x = 14,644.80 × 6,470.40
  4. Step 4: Simplify right side
    9,758.40x = 94,757,713.92
  5. Step 5: Solve for x
    x = 94,757,713.92/9,758.40
  6. Step 6: Final answer
    x = 9,710.37

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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.