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Finding the Fourth Proportional to 10,157, 14,021.90 and 7,007.72

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Solution

The fourth proportional to 10,157, 14,021.90 and 7,007.72 is: 9,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157 : 14,021.90 = 7,007.72 : x
  2. Step 2: Convert to fraction form
    10,157/14,021.90 = 7,007.72/x
  3. Step 3: Cross multiply
    10,157x = 14,021.90 × 7,007.72
  4. Step 4: Simplify right side
    10,157x = 98,261,549.07
  5. Step 5: Solve for x
    x = 98,261,549.07/10,157
  6. Step 6: Final answer
    x = 9,674.27

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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.