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Finding the Fourth Proportional to 30,978.87, 46,421.00 and 23,043.01

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Solution

The fourth proportional to 30,978.87, 46,421.00 and 23,043.01 is: 34,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.87 : 46,421.00 = 23,043.01 : x
  2. Step 2: Convert to fraction form
    30,978.87/46,421.00 = 23,043.01/x
  3. Step 3: Cross multiply
    30,978.87x = 46,421.00 × 23,043.01
  4. Step 4: Simplify right side
    30,978.87x = 1,069,679,335.94
  5. Step 5: Solve for x
    x = 1,069,679,335.94/30,978.87
  6. Step 6: Final answer
    x = 34,529.32

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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.