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Finding the Fourth Proportional to 10,146, 14,001.48 and 5,730

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Solution

The fourth proportional to 10,146, 14,001.48 and 5,730 is: 7,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146 : 14,001.48 = 5,730 : x
  2. Step 2: Convert to fraction form
    10,146/14,001.48 = 5,730/x
  3. Step 3: Cross multiply
    10,146x = 14,001.48 × 5,730
  4. Step 4: Simplify right side
    10,146x = 80,228,480.40
  5. Step 5: Solve for x
    x = 80,228,480.40/10,146
  6. Step 6: Final answer
    x = 7,907.40

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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.