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Finding the Fourth Proportional to 19,292.31, 28,931.10 and 6,810

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Solution

The fourth proportional to 19,292.31, 28,931.10 and 6,810 is: 10,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292.31 : 28,931.10 = 6,810 : x
  2. Step 2: Convert to fraction form
    19,292.31/28,931.10 = 6,810/x
  3. Step 3: Cross multiply
    19,292.31x = 28,931.10 × 6,810
  4. Step 4: Simplify right side
    19,292.31x = 197,020,791
  5. Step 5: Solve for x
    x = 197,020,791/19,292.31
  6. Step 6: Final answer
    x = 10,212.40

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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.