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Finding the Fourth Proportional to 15,643, 23,445.06 and 6,869.08

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Solution

The fourth proportional to 15,643, 23,445.06 and 6,869.08 is: 10,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643 : 23,445.06 = 6,869.08 : x
  2. Step 2: Convert to fraction form
    15,643/23,445.06 = 6,869.08/x
  3. Step 3: Cross multiply
    15,643x = 23,445.06 × 6,869.08
  4. Step 4: Simplify right side
    15,643x = 161,045,992.74
  5. Step 5: Solve for x
    x = 161,045,992.74/15,643
  6. Step 6: Final answer
    x = 10,295.08

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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.