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Finding the Fourth Proportional to 7,582.10, 10,401.09 and 7,484.90

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Solution

The fourth proportional to 7,582.10, 10,401.09 and 7,484.90 is: 10,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.10 : 10,401.09 = 7,484.90 : x
  2. Step 2: Convert to fraction form
    7,582.10/10,401.09 = 7,484.90/x
  3. Step 3: Cross multiply
    7,582.10x = 10,401.09 × 7,484.90
  4. Step 4: Simplify right side
    7,582.10x = 77,851,081.12
  5. Step 5: Solve for x
    x = 77,851,081.12/7,582.10
  6. Step 6: Final answer
    x = 10,267.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.