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Finding the Fourth Proportional to 43,978.68, 65,970.24 and 12,816.36

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Solution

The fourth proportional to 43,978.68, 65,970.24 and 12,816.36 is: 19,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,978.68 : 65,970.24 = 12,816.36 : x
  2. Step 2: Convert to fraction form
    43,978.68/65,970.24 = 12,816.36/x
  3. Step 3: Cross multiply
    43,978.68x = 65,970.24 × 12,816.36
  4. Step 4: Simplify right side
    43,978.68x = 845,498,345.13
  5. Step 5: Solve for x
    x = 845,498,345.13/43,978.68
  6. Step 6: Final answer
    x = 19,225.19

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1.5x scale

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.