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Finding the Fourth Proportional to 8,352, 11,525.76 and 5,040

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Solution

The fourth proportional to 8,352, 11,525.76 and 5,040 is: 6,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352 : 11,525.76 = 5,040 : x
  2. Step 2: Convert to fraction form
    8,352/11,525.76 = 5,040/x
  3. Step 3: Cross multiply
    8,352x = 11,525.76 × 5,040
  4. Step 4: Simplify right side
    8,352x = 58,089,830.40
  5. Step 5: Solve for x
    x = 58,089,830.40/8,352
  6. Step 6: Final answer
    x = 6,955.20

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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.