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Finding the Fourth Proportional to 10,685.64, 14,740.74 and 8,916.60

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Solution

The fourth proportional to 10,685.64, 14,740.74 and 8,916.60 is: 12,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.64 : 14,740.74 = 8,916.60 : x
  2. Step 2: Convert to fraction form
    10,685.64/14,740.74 = 8,916.60/x
  3. Step 3: Cross multiply
    10,685.64x = 14,740.74 × 8,916.60
  4. Step 4: Simplify right side
    10,685.64x = 131,437,282.28
  5. Step 5: Solve for x
    x = 131,437,282.28/10,685.64
  6. Step 6: Final answer
    x = 12,300.37

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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.