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Finding the Fourth Proportional to 9,572.85, 14,430.29 and 8,742.33

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Solution

The fourth proportional to 9,572.85, 14,430.29 and 8,742.33 is: 13,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.85 : 14,430.29 = 8,742.33 : x
  2. Step 2: Convert to fraction form
    9,572.85/14,430.29 = 8,742.33/x
  3. Step 3: Cross multiply
    9,572.85x = 14,430.29 × 8,742.33
  4. Step 4: Simplify right side
    9,572.85x = 126,154,313.46
  5. Step 5: Solve for x
    x = 126,154,313.46/9,572.85
  6. Step 6: Final answer
    x = 13,178.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.