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Finding the Fourth Proportional to 14,090.64, 19,445.70 and 7,803

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Solution

The fourth proportional to 14,090.64, 19,445.70 and 7,803 is: 10,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.64 : 19,445.70 = 7,803 : x
  2. Step 2: Convert to fraction form
    14,090.64/19,445.70 = 7,803/x
  3. Step 3: Cross multiply
    14,090.64x = 19,445.70 × 7,803
  4. Step 4: Simplify right side
    14,090.64x = 151,734,797.10
  5. Step 5: Solve for x
    x = 151,734,797.10/14,090.64
  6. Step 6: Final answer
    x = 10,768.48

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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.