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Finding the Fourth Proportional to 9,588.64, 13,220.40 and 7,916.80

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Solution

The fourth proportional to 9,588.64, 13,220.40 and 7,916.80 is: 10,915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.64 : 13,220.40 = 7,916.80 : x
  2. Step 2: Convert to fraction form
    9,588.64/13,220.40 = 7,916.80/x
  3. Step 3: Cross multiply
    9,588.64x = 13,220.40 × 7,916.80
  4. Step 4: Simplify right side
    9,588.64x = 104,663,262.72
  5. Step 5: Solve for x
    x = 104,663,262.72/9,588.64
  6. Step 6: Final answer
    x = 10,915.34

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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.