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Finding the Fourth Proportional to 10,430.70, 14,383.08 and 7,445.31

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Solution

The fourth proportional to 10,430.70, 14,383.08 and 7,445.31 is: 10,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.70 : 14,383.08 = 7,445.31 : x
  2. Step 2: Convert to fraction form
    10,430.70/14,383.08 = 7,445.31/x
  3. Step 3: Cross multiply
    10,430.70x = 14,383.08 × 7,445.31
  4. Step 4: Simplify right side
    10,430.70x = 107,086,489.35
  5. Step 5: Solve for x
    x = 107,086,489.35/10,430.70
  6. Step 6: Final answer
    x = 10,266.47

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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.