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Finding the Fourth Proportional to 31,080, 46,627.38 and 10,303.50

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Solution

The fourth proportional to 31,080, 46,627.38 and 10,303.50 is: 15,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080 : 46,627.38 = 10,303.50 : x
  2. Step 2: Convert to fraction form
    31,080/46,627.38 = 10,303.50/x
  3. Step 3: Cross multiply
    31,080x = 46,627.38 × 10,303.50
  4. Step 4: Simplify right side
    31,080x = 480,425,209.83
  5. Step 5: Solve for x
    x = 480,425,209.83/31,080
  6. Step 6: Final answer
    x = 15,457.70

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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.