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Finding the Fourth Proportional to 15,712.50, 23,478 and 11,888.08

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Solution

The fourth proportional to 15,712.50, 23,478 and 11,888.08 is: 17,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.50 : 23,478 = 11,888.08 : x
  2. Step 2: Convert to fraction form
    15,712.50/23,478 = 11,888.08/x
  3. Step 3: Cross multiply
    15,712.50x = 23,478 × 11,888.08
  4. Step 4: Simplify right side
    15,712.50x = 279,108,342.24
  5. Step 5: Solve for x
    x = 279,108,342.24/15,712.50
  6. Step 6: Final answer
    x = 17,763.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.