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Finding the Fourth Proportional to 7,010.40, 10,515.60 and 6,448.80

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Solution

The fourth proportional to 7,010.40, 10,515.60 and 6,448.80 is: 9,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.40 : 10,515.60 = 6,448.80 : x
  2. Step 2: Convert to fraction form
    7,010.40/10,515.60 = 6,448.80/x
  3. Step 3: Cross multiply
    7,010.40x = 10,515.60 × 6,448.80
  4. Step 4: Simplify right side
    7,010.40x = 67,813,001.28
  5. Step 5: Solve for x
    x = 67,813,001.28/7,010.40
  6. Step 6: Final answer
    x = 9,673.20

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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.