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Finding the Fourth Proportional to 21,715.83, 32,567.88 and 7,674

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Solution

The fourth proportional to 21,715.83, 32,567.88 and 7,674 is: 11,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.83 : 32,567.88 = 7,674 : x
  2. Step 2: Convert to fraction form
    21,715.83/32,567.88 = 7,674/x
  3. Step 3: Cross multiply
    21,715.83x = 32,567.88 × 7,674
  4. Step 4: Simplify right side
    21,715.83x = 249,925,911.12
  5. Step 5: Solve for x
    x = 249,925,911.12/21,715.83
  6. Step 6: Final answer
    x = 11,508.93

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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.