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Finding the Fourth Proportional to 21,699.78, 32,527.78 and 7,656.50

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Solution

The fourth proportional to 21,699.78, 32,527.78 and 7,656.50 is: 11,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699.78 : 32,527.78 = 7,656.50 : x
  2. Step 2: Convert to fraction form
    21,699.78/32,527.78 = 7,656.50/x
  3. Step 3: Cross multiply
    21,699.78x = 32,527.78 × 7,656.50
  4. Step 4: Simplify right side
    21,699.78x = 249,048,947.57
  5. Step 5: Solve for x
    x = 249,048,947.57/21,699.78
  6. Step 6: Final answer
    x = 11,477.03

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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.