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Finding the Fourth Proportional to 15,758.13, 21,746.07 and 9,470.46

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Solution

The fourth proportional to 15,758.13, 21,746.07 and 9,470.46 is: 13,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.13 : 21,746.07 = 9,470.46 : x
  2. Step 2: Convert to fraction form
    15,758.13/21,746.07 = 9,470.46/x
  3. Step 3: Cross multiply
    15,758.13x = 21,746.07 × 9,470.46
  4. Step 4: Simplify right side
    15,758.13x = 205,945,286.09
  5. Step 5: Solve for x
    x = 205,945,286.09/15,758.13
  6. Step 6: Final answer
    x = 13,069.15

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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.