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Finding the Fourth Proportional to 15,762.97, 21,746.01 and 10,378.47

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Solution

The fourth proportional to 15,762.97, 21,746.01 and 10,378.47 is: 14,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.97 : 21,746.01 = 10,378.47 : x
  2. Step 2: Convert to fraction form
    15,762.97/21,746.01 = 10,378.47/x
  3. Step 3: Cross multiply
    15,762.97x = 21,746.01 × 10,378.47
  4. Step 4: Simplify right side
    15,762.97x = 225,690,312.40
  5. Step 5: Solve for x
    x = 225,690,312.40/15,762.97
  6. Step 6: Final answer
    x = 14,317.75

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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.