Home / 10,830-14,945.76-6,637.44

Finding the Fourth Proportional to 10,830, 14,945.76 and 6,637.44

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Solution

The fourth proportional to 10,830, 14,945.76 and 6,637.44 is: 9,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830 : 14,945.76 = 6,637.44 : x
  2. Step 2: Convert to fraction form
    10,830/14,945.76 = 6,637.44/x
  3. Step 3: Cross multiply
    10,830x = 14,945.76 × 6,637.44
  4. Step 4: Simplify right side
    10,830x = 99,201,585.25
  5. Step 5: Solve for x
    x = 99,201,585.25/10,830
  6. Step 6: Final answer
    x = 9,159.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.