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Finding the Fourth Proportional to 35,971.72, 53,957.60 and 9,679.12

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Solution

The fourth proportional to 35,971.72, 53,957.60 and 9,679.12 is: 14,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.72 : 53,957.60 = 9,679.12 : x
  2. Step 2: Convert to fraction form
    35,971.72/53,957.60 = 9,679.12/x
  3. Step 3: Cross multiply
    35,971.72x = 53,957.60 × 9,679.12
  4. Step 4: Simplify right side
    35,971.72x = 522,262,085.31
  5. Step 5: Solve for x
    x = 522,262,085.31/35,971.72
  6. Step 6: Final answer
    x = 14,518.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.