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Finding the Fourth Proportional to 15,768.02, 21,756 and 10,389.86

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Solution

The fourth proportional to 15,768.02, 21,756 and 10,389.86 is: 14,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.02 : 21,756 = 10,389.86 : x
  2. Step 2: Convert to fraction form
    15,768.02/21,756 = 10,389.86/x
  3. Step 3: Cross multiply
    15,768.02x = 21,756 × 10,389.86
  4. Step 4: Simplify right side
    15,768.02x = 226,041,794.16
  5. Step 5: Solve for x
    x = 226,041,794.16/15,768.02
  6. Step 6: Final answer
    x = 14,335.46

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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.