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Finding the Fourth Proportional to 27,240.80, 37,590 and 15,303.20

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Solution

The fourth proportional to 27,240.80, 37,590 and 15,303.20 is: 21,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240.80 : 37,590 = 15,303.20 : x
  2. Step 2: Convert to fraction form
    27,240.80/37,590 = 15,303.20/x
  3. Step 3: Cross multiply
    27,240.80x = 37,590 × 15,303.20
  4. Step 4: Simplify right side
    27,240.80x = 575,247,288
  5. Step 5: Solve for x
    x = 575,247,288/27,240.80
  6. Step 6: Final answer
    x = 21,117.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.