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Finding the Fourth Proportional to 31,989.34, 47,984.01 and 9,802.63

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Solution

The fourth proportional to 31,989.34, 47,984.01 and 9,802.63 is: 14,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989.34 : 47,984.01 = 9,802.63 : x
  2. Step 2: Convert to fraction form
    31,989.34/47,984.01 = 9,802.63/x
  3. Step 3: Cross multiply
    31,989.34x = 47,984.01 × 9,802.63
  4. Step 4: Simplify right side
    31,989.34x = 470,369,495.95
  5. Step 5: Solve for x
    x = 470,369,495.95/31,989.34
  6. Step 6: Final answer
    x = 14,703.95

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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.