Home / 31,030.47-46,546.16-7,656.90

Finding the Fourth Proportional to 31,030.47, 46,546.16 and 7,656.90

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Solution

The fourth proportional to 31,030.47, 46,546.16 and 7,656.90 is: 11,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.47 : 46,546.16 = 7,656.90 : x
  2. Step 2: Convert to fraction form
    31,030.47/46,546.16 = 7,656.90/x
  3. Step 3: Cross multiply
    31,030.47x = 46,546.16 × 7,656.90
  4. Step 4: Simplify right side
    31,030.47x = 356,399,483.17
  5. Step 5: Solve for x
    x = 356,399,483.17/31,030.47
  6. Step 6: Final answer
    x = 11,485.47

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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.