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Finding the Fourth Proportional to 19,885.74, 27,442.40 and 11,388

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Solution

The fourth proportional to 19,885.74, 27,442.40 and 11,388 is: 15,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.74 : 27,442.40 = 11,388 : x
  2. Step 2: Convert to fraction form
    19,885.74/27,442.40 = 11,388/x
  3. Step 3: Cross multiply
    19,885.74x = 27,442.40 × 11,388
  4. Step 4: Simplify right side
    19,885.74x = 312,513,994.26
  5. Step 5: Solve for x
    x = 312,513,994.26/19,885.74
  6. Step 6: Final answer
    x = 15,715.48

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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.