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Finding the Fourth Proportional to 19,531, 26,952.89 and 10,578.53

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Solution

The fourth proportional to 19,531, 26,952.89 and 10,578.53 is: 14,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531 : 26,952.89 = 10,578.53 : x
  2. Step 2: Convert to fraction form
    19,531/26,952.89 = 10,578.53/x
  3. Step 3: Cross multiply
    19,531x = 26,952.89 × 10,578.53
  4. Step 4: Simplify right side
    19,531x = 285,121,955.45
  5. Step 5: Solve for x
    x = 285,121,955.45/19,531
  6. Step 6: Final answer
    x = 14,598.43

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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.