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Finding the Fourth Proportional to 15,688, 23,527.01 and 5,155.59

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Solution

The fourth proportional to 15,688, 23,527.01 and 5,155.59 is: 7,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688 : 23,527.01 = 5,155.59 : x
  2. Step 2: Convert to fraction form
    15,688/23,527.01 = 5,155.59/x
  3. Step 3: Cross multiply
    15,688x = 23,527.01 × 5,155.59
  4. Step 4: Simplify right side
    15,688x = 121,295,617.49
  5. Step 5: Solve for x
    x = 121,295,617.49/15,688
  6. Step 6: Final answer
    x = 7,731.75

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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.