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Finding the Fourth Proportional to 31,147.60, 46,693.60 and 11,421.55

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Solution

The fourth proportional to 31,147.60, 46,693.60 and 11,421.55 is: 17,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.60 : 46,693.60 = 11,421.55 : x
  2. Step 2: Convert to fraction form
    31,147.60/46,693.60 = 11,421.55/x
  3. Step 3: Cross multiply
    31,147.60x = 46,693.60 × 11,421.55
  4. Step 4: Simplify right side
    31,147.60x = 533,313,287.08
  5. Step 5: Solve for x
    x = 533,313,287.08/31,147.60
  6. Step 6: Final answer
    x = 17,122.13

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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.