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Finding the Fourth Proportional to 30,646.72, 45,943.74 and 10,653.59

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Solution

The fourth proportional to 30,646.72, 45,943.74 and 10,653.59 is: 15,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.72 : 45,943.74 = 10,653.59 : x
  2. Step 2: Convert to fraction form
    30,646.72/45,943.74 = 10,653.59/x
  3. Step 3: Cross multiply
    30,646.72x = 45,943.74 × 10,653.59
  4. Step 4: Simplify right side
    30,646.72x = 489,465,883.89
  5. Step 5: Solve for x
    x = 489,465,883.89/30,646.72
  6. Step 6: Final answer
    x = 15,971.23

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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.