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Finding the Fourth Proportional to 31,312.77, 46,964.60 and 9,120.20

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Solution

The fourth proportional to 31,312.77, 46,964.60 and 9,120.20 is: 13,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,312.77 : 46,964.60 = 9,120.20 : x
  2. Step 2: Convert to fraction form
    31,312.77/46,964.60 = 9,120.20/x
  3. Step 3: Cross multiply
    31,312.77x = 46,964.60 × 9,120.20
  4. Step 4: Simplify right side
    31,312.77x = 428,326,264.50
  5. Step 5: Solve for x
    x = 428,326,264.50/31,312.77
  6. Step 6: Final answer
    x = 13,678.96

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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.