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Finding the Fourth Proportional to 10,420, 15,630.16 and 3,124

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Solution

The fourth proportional to 10,420, 15,630.16 and 3,124 is: 4,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420 : 15,630.16 = 3,124 : x
  2. Step 2: Convert to fraction form
    10,420/15,630.16 = 3,124/x
  3. Step 3: Cross multiply
    10,420x = 15,630.16 × 3,124
  4. Step 4: Simplify right side
    10,420x = 48,828,619.84
  5. Step 5: Solve for x
    x = 48,828,619.84/10,420
  6. Step 6: Final answer
    x = 4,686.05

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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.