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Finding the Fourth Proportional to 7,490.59, 10,262.09 and 7,210.19

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Solution

The fourth proportional to 7,490.59, 10,262.09 and 7,210.19 is: 9,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.59 : 10,262.09 = 7,210.19 : x
  2. Step 2: Convert to fraction form
    7,490.59/10,262.09 = 7,210.19/x
  3. Step 3: Cross multiply
    7,490.59x = 10,262.09 × 7,210.19
  4. Step 4: Simplify right side
    7,490.59x = 73,991,618.70
  5. Step 5: Solve for x
    x = 73,991,618.70/7,490.59
  6. Step 6: Final answer
    x = 9,877.94

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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.