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Finding the Fourth Proportional to 12,688.90, 17,510.43 and 7,023.65

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Solution

The fourth proportional to 12,688.90, 17,510.43 and 7,023.65 is: 9,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.90 : 17,510.43 = 7,023.65 : x
  2. Step 2: Convert to fraction form
    12,688.90/17,510.43 = 7,023.65/x
  3. Step 3: Cross multiply
    12,688.90x = 17,510.43 × 7,023.65
  4. Step 4: Simplify right side
    12,688.90x = 122,987,136.12
  5. Step 5: Solve for x
    x = 122,987,136.12/12,688.90
  6. Step 6: Final answer
    x = 9,692.50

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1.5x scale

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.