Home / 31,156.94-46,735.68-7,783.40

Finding the Fourth Proportional to 31,156.94, 46,735.68 and 7,783.40

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Solution

The fourth proportional to 31,156.94, 46,735.68 and 7,783.40 is: 11,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.94 : 46,735.68 = 7,783.40 : x
  2. Step 2: Convert to fraction form
    31,156.94/46,735.68 = 7,783.40/x
  3. Step 3: Cross multiply
    31,156.94x = 46,735.68 × 7,783.40
  4. Step 4: Simplify right side
    31,156.94x = 363,762,491.71
  5. Step 5: Solve for x
    x = 363,762,491.71/31,156.94
  6. Step 6: Final answer
    x = 11,675.17

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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.