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Finding the Fourth Proportional to 6,509.28, 9,763.93 and 1,578.88

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Solution

The fourth proportional to 6,509.28, 9,763.93 and 1,578.88 is: 2,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.28 : 9,763.93 = 1,578.88 : x
  2. Step 2: Convert to fraction form
    6,509.28/9,763.93 = 1,578.88/x
  3. Step 3: Cross multiply
    6,509.28x = 9,763.93 × 1,578.88
  4. Step 4: Simplify right side
    6,509.28x = 15,416,065.90
  5. Step 5: Solve for x
    x = 15,416,065.90/6,509.28
  6. Step 6: Final answer
    x = 2,368.32

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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.