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Finding the Fourth Proportional to 10,585.04, 15,866.04 and 7,970

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Solution

The fourth proportional to 10,585.04, 15,866.04 and 7,970 is: 11,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.04 : 15,866.04 = 7,970 : x
  2. Step 2: Convert to fraction form
    10,585.04/15,866.04 = 7,970/x
  3. Step 3: Cross multiply
    10,585.04x = 15,866.04 × 7,970
  4. Step 4: Simplify right side
    10,585.04x = 126,452,338.80
  5. Step 5: Solve for x
    x = 126,452,338.80/10,585.04
  6. Step 6: Final answer
    x = 11,946.33

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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.