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Finding the Fourth Proportional to 31,319, 46,980.72 and 12,599.14

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Solution

The fourth proportional to 31,319, 46,980.72 and 12,599.14 is: 18,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319 : 46,980.72 = 12,599.14 : x
  2. Step 2: Convert to fraction form
    31,319/46,980.72 = 12,599.14/x
  3. Step 3: Cross multiply
    31,319x = 46,980.72 × 12,599.14
  4. Step 4: Simplify right side
    31,319x = 591,916,668.58
  5. Step 5: Solve for x
    x = 591,916,668.58/31,319
  6. Step 6: Final answer
    x = 18,899.60

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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.