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Finding the Fourth Proportional to 10,359, 14,295.24 and 5,643.24

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Solution

The fourth proportional to 10,359, 14,295.24 and 5,643.24 is: 7,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359 : 14,295.24 = 5,643.24 : x
  2. Step 2: Convert to fraction form
    10,359/14,295.24 = 5,643.24/x
  3. Step 3: Cross multiply
    10,359x = 14,295.24 × 5,643.24
  4. Step 4: Simplify right side
    10,359x = 80,671,470.18
  5. Step 5: Solve for x
    x = 80,671,470.18/10,359
  6. Step 6: Final answer
    x = 7,787.57

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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.