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Finding the Fourth Proportional to 11,560.80, 15,962.64 and 7,580.40

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Solution

The fourth proportional to 11,560.80, 15,962.64 and 7,580.40 is: 10,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.80 : 15,962.64 = 7,580.40 : x
  2. Step 2: Convert to fraction form
    11,560.80/15,962.64 = 7,580.40/x
  3. Step 3: Cross multiply
    11,560.80x = 15,962.64 × 7,580.40
  4. Step 4: Simplify right side
    11,560.80x = 121,003,196.26
  5. Step 5: Solve for x
    x = 121,003,196.26/11,560.80
  6. Step 6: Final answer
    x = 10,466.68

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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.