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Finding the Fourth Proportional to 43,477.64, 65,216.46 and 12,312.89

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Solution

The fourth proportional to 43,477.64, 65,216.46 and 12,312.89 is: 18,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,477.64 : 65,216.46 = 12,312.89 : x
  2. Step 2: Convert to fraction form
    43,477.64/65,216.46 = 12,312.89/x
  3. Step 3: Cross multiply
    43,477.64x = 65,216.46 × 12,312.89
  4. Step 4: Simplify right side
    43,477.64x = 803,003,098.17
  5. Step 5: Solve for x
    x = 803,003,098.17/43,477.64
  6. Step 6: Final answer
    x = 18,469.34

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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.