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Finding the Fourth Proportional to 7,402.40, 10,262.08 and 7,007.84

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Solution

The fourth proportional to 7,402.40, 10,262.08 and 7,007.84 is: 9,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.40 : 10,262.08 = 7,007.84 : x
  2. Step 2: Convert to fraction form
    7,402.40/10,262.08 = 7,007.84/x
  3. Step 3: Cross multiply
    7,402.40x = 10,262.08 × 7,007.84
  4. Step 4: Simplify right side
    7,402.40x = 71,915,014.71
  5. Step 5: Solve for x
    x = 71,915,014.71/7,402.40
  6. Step 6: Final answer
    x = 9,715.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.