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Finding the Fourth Proportional to 9,916.50, 13,681.02 and 6,331.60

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Solution

The fourth proportional to 9,916.50, 13,681.02 and 6,331.60 is: 8,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.50 : 13,681.02 = 6,331.60 : x
  2. Step 2: Convert to fraction form
    9,916.50/13,681.02 = 6,331.60/x
  3. Step 3: Cross multiply
    9,916.50x = 13,681.02 × 6,331.60
  4. Step 4: Simplify right side
    9,916.50x = 86,622,746.23
  5. Step 5: Solve for x
    x = 86,622,746.23/9,916.50
  6. Step 6: Final answer
    x = 8,735.21

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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.