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Finding the Fourth Proportional to 14,160, 19,538.06 and 9,123.14

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Solution

The fourth proportional to 14,160, 19,538.06 and 9,123.14 is: 12,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160 : 19,538.06 = 9,123.14 : x
  2. Step 2: Convert to fraction form
    14,160/19,538.06 = 9,123.14/x
  3. Step 3: Cross multiply
    14,160x = 19,538.06 × 9,123.14
  4. Step 4: Simplify right side
    14,160x = 178,248,456.71
  5. Step 5: Solve for x
    x = 178,248,456.71/14,160
  6. Step 6: Final answer
    x = 12,588.17

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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.