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Finding the Fourth Proportional to 19,237, 26,547.06 and 10,405

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Solution

The fourth proportional to 19,237, 26,547.06 and 10,405 is: 14,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237 : 26,547.06 = 10,405 : x
  2. Step 2: Convert to fraction form
    19,237/26,547.06 = 10,405/x
  3. Step 3: Cross multiply
    19,237x = 26,547.06 × 10,405
  4. Step 4: Simplify right side
    19,237x = 276,222,159.30
  5. Step 5: Solve for x
    x = 276,222,159.30/19,237
  6. Step 6: Final answer
    x = 14,358.90

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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.