Home / 31,154.16-46,731-7,780.44

Finding the Fourth Proportional to 31,154.16, 46,731 and 7,780.44

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Solution

The fourth proportional to 31,154.16, 46,731 and 7,780.44 is: 11,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.16 : 46,731 = 7,780.44 : x
  2. Step 2: Convert to fraction form
    31,154.16/46,731 = 7,780.44/x
  3. Step 3: Cross multiply
    31,154.16x = 46,731 × 7,780.44
  4. Step 4: Simplify right side
    31,154.16x = 363,587,741.64
  5. Step 5: Solve for x
    x = 363,587,741.64/31,154.16
  6. Step 6: Final answer
    x = 11,670.60

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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.