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Finding the Fourth Proportional to 12,950.16, 17,870.34 and 7,572

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Solution

The fourth proportional to 12,950.16, 17,870.34 and 7,572 is: 10,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.16 : 17,870.34 = 7,572 : x
  2. Step 2: Convert to fraction form
    12,950.16/17,870.34 = 7,572/x
  3. Step 3: Cross multiply
    12,950.16x = 17,870.34 × 7,572
  4. Step 4: Simplify right side
    12,950.16x = 135,314,214.48
  5. Step 5: Solve for x
    x = 135,314,214.48/12,950.16
  6. Step 6: Final answer
    x = 10,448.84

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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.