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Finding the Fourth Proportional to 7,578.59, 10,455.63 and 7,566.91

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Solution

The fourth proportional to 7,578.59, 10,455.63 and 7,566.91 is: 10,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.59 : 10,455.63 = 7,566.91 : x
  2. Step 2: Convert to fraction form
    7,578.59/10,455.63 = 7,566.91/x
  3. Step 3: Cross multiply
    7,578.59x = 10,455.63 × 7,566.91
  4. Step 4: Simplify right side
    7,578.59x = 79,116,811.20
  5. Step 5: Solve for x
    x = 79,116,811.20/7,578.59
  6. Step 6: Final answer
    x = 10,439.52

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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.