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Finding the Fourth Proportional to 21,698.53, 32,541.75 and 7,656.73

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Solution

The fourth proportional to 21,698.53, 32,541.75 and 7,656.73 is: 11,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.53 : 32,541.75 = 7,656.73 : x
  2. Step 2: Convert to fraction form
    21,698.53/32,541.75 = 7,656.73/x
  3. Step 3: Cross multiply
    21,698.53x = 32,541.75 × 7,656.73
  4. Step 4: Simplify right side
    21,698.53x = 249,163,312.12
  5. Step 5: Solve for x
    x = 249,163,312.12/21,698.53
  6. Step 6: Final answer
    x = 11,482.96

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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.