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Finding the Fourth Proportional to 10,657.68, 15,987.90 and 5,720.56

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Solution

The fourth proportional to 10,657.68, 15,987.90 and 5,720.56 is: 8,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.68 : 15,987.90 = 5,720.56 : x
  2. Step 2: Convert to fraction form
    10,657.68/15,987.90 = 5,720.56/x
  3. Step 3: Cross multiply
    10,657.68x = 15,987.90 × 5,720.56
  4. Step 4: Simplify right side
    10,657.68x = 91,459,741.22
  5. Step 5: Solve for x
    x = 91,459,741.22/10,657.68
  6. Step 6: Final answer
    x = 8,581.58

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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.