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Finding the Fourth Proportional to 10,505.68, 15,752.76 and 3,578.32

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Solution

The fourth proportional to 10,505.68, 15,752.76 and 3,578.32 is: 5,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.68 : 15,752.76 = 3,578.32 : x
  2. Step 2: Convert to fraction form
    10,505.68/15,752.76 = 3,578.32/x
  3. Step 3: Cross multiply
    10,505.68x = 15,752.76 × 3,578.32
  4. Step 4: Simplify right side
    10,505.68x = 56,368,416.16
  5. Step 5: Solve for x
    x = 56,368,416.16/10,505.68
  6. Step 6: Final answer
    x = 5,365.52

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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.