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Finding the Fourth Proportional to 31,985.34, 47,978.01 and 9,798.63

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Solution

The fourth proportional to 31,985.34, 47,978.01 and 9,798.63 is: 14,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.34 : 47,978.01 = 9,798.63 : x
  2. Step 2: Convert to fraction form
    31,985.34/47,978.01 = 9,798.63/x
  3. Step 3: Cross multiply
    31,985.34x = 47,978.01 × 9,798.63
  4. Step 4: Simplify right side
    31,985.34x = 470,118,768.13
  5. Step 5: Solve for x
    x = 470,118,768.13/31,985.34
  6. Step 6: Final answer
    x = 14,697.95

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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.