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Finding the Fourth Proportional to 10,420, 15,635.12 and 4,575.84

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Solution

The fourth proportional to 10,420, 15,635.12 and 4,575.84 is: 6,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420 : 15,635.12 = 4,575.84 : x
  2. Step 2: Convert to fraction form
    10,420/15,635.12 = 4,575.84/x
  3. Step 3: Cross multiply
    10,420x = 15,635.12 × 4,575.84
  4. Step 4: Simplify right side
    10,420x = 71,543,807.50
  5. Step 5: Solve for x
    x = 71,543,807.50/10,420
  6. Step 6: Final answer
    x = 6,866.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.