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Finding the Fourth Proportional to 19,617.76, 29,417.40 and 7,129

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Solution

The fourth proportional to 19,617.76, 29,417.40 and 7,129 is: 10,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.76 : 29,417.40 = 7,129 : x
  2. Step 2: Convert to fraction form
    19,617.76/29,417.40 = 7,129/x
  3. Step 3: Cross multiply
    19,617.76x = 29,417.40 × 7,129
  4. Step 4: Simplify right side
    19,617.76x = 209,716,644.60
  5. Step 5: Solve for x
    x = 209,716,644.60/19,617.76
  6. Step 6: Final answer
    x = 10,690.14

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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.