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Finding the Fourth Proportional to 31,490, 47,242.68 and 9,602

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Solution

The fourth proportional to 31,490, 47,242.68 and 9,602 is: 14,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490 : 47,242.68 = 9,602 : x
  2. Step 2: Convert to fraction form
    31,490/47,242.68 = 9,602/x
  3. Step 3: Cross multiply
    31,490x = 47,242.68 × 9,602
  4. Step 4: Simplify right side
    31,490x = 453,624,213.36
  5. Step 5: Solve for x
    x = 453,624,213.36/31,490
  6. Step 6: Final answer
    x = 14,405.34

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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.