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Finding the Fourth Proportional to 10,602.50, 14,632.80 and 6,410.75

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Solution

The fourth proportional to 10,602.50, 14,632.80 and 6,410.75 is: 8,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.50 : 14,632.80 = 6,410.75 : x
  2. Step 2: Convert to fraction form
    10,602.50/14,632.80 = 6,410.75/x
  3. Step 3: Cross multiply
    10,602.50x = 14,632.80 × 6,410.75
  4. Step 4: Simplify right side
    10,602.50x = 93,807,222.60
  5. Step 5: Solve for x
    x = 93,807,222.60/10,602.50
  6. Step 6: Final answer
    x = 8,847.65

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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.