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Finding the Fourth Proportional to 15,588.88, 21,509.12 and 9,300

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Solution

The fourth proportional to 15,588.88, 21,509.12 and 9,300 is: 12,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.88 : 21,509.12 = 9,300 : x
  2. Step 2: Convert to fraction form
    15,588.88/21,509.12 = 9,300/x
  3. Step 3: Cross multiply
    15,588.88x = 21,509.12 × 9,300
  4. Step 4: Simplify right side
    15,588.88x = 200,034,816
  5. Step 5: Solve for x
    x = 200,034,816/15,588.88
  6. Step 6: Final answer
    x = 12,831.89

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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.