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Finding the Fourth Proportional to 14,411.25, 19,887.53 and 7,787.25

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Solution

The fourth proportional to 14,411.25, 19,887.53 and 7,787.25 is: 10,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.25 : 19,887.53 = 7,787.25 : x
  2. Step 2: Convert to fraction form
    14,411.25/19,887.53 = 7,787.25/x
  3. Step 3: Cross multiply
    14,411.25x = 19,887.53 × 7,787.25
  4. Step 4: Simplify right side
    14,411.25x = 154,869,129.06
  5. Step 5: Solve for x
    x = 154,869,129.06/14,411.25
  6. Step 6: Final answer
    x = 10,746.41

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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.