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Finding the Fourth Proportional to 14,085.73, 19,437.71 and 7,712.21

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Solution

The fourth proportional to 14,085.73, 19,437.71 and 7,712.21 is: 10,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.73 : 19,437.71 = 7,712.21 : x
  2. Step 2: Convert to fraction form
    14,085.73/19,437.71 = 7,712.21/x
  3. Step 3: Cross multiply
    14,085.73x = 19,437.71 × 7,712.21
  4. Step 4: Simplify right side
    14,085.73x = 149,907,689.19
  5. Step 5: Solve for x
    x = 149,907,689.19/14,085.73
  6. Step 6: Final answer
    x = 10,642.52

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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.