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Finding the Fourth Proportional to 7,580.80, 10,457.76 and 6,531.04

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Solution

The fourth proportional to 7,580.80, 10,457.76 and 6,531.04 is: 9,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.80 : 10,457.76 = 6,531.04 : x
  2. Step 2: Convert to fraction form
    7,580.80/10,457.76 = 6,531.04/x
  3. Step 3: Cross multiply
    7,580.80x = 10,457.76 × 6,531.04
  4. Step 4: Simplify right side
    7,580.80x = 68,300,048.87
  5. Step 5: Solve for x
    x = 68,300,048.87/7,580.80
  6. Step 6: Final answer
    x = 9,009.61

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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.