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Finding the Fourth Proportional to 10,615.88, 15,917.65 and 7,806.40

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Solution

The fourth proportional to 10,615.88, 15,917.65 and 7,806.40 is: 11,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.88 : 15,917.65 = 7,806.40 : x
  2. Step 2: Convert to fraction form
    10,615.88/15,917.65 = 7,806.40/x
  3. Step 3: Cross multiply
    10,615.88x = 15,917.65 × 7,806.40
  4. Step 4: Simplify right side
    10,615.88x = 124,259,483.65
  5. Step 5: Solve for x
    x = 124,259,483.65/10,615.88
  6. Step 6: Final answer
    x = 11,705.05

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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.