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Finding the Fourth Proportional to 30,378.66, 45,569.37 and 9,317.16

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Solution

The fourth proportional to 30,378.66, 45,569.37 and 9,317.16 is: 13,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.66 : 45,569.37 = 9,317.16 : x
  2. Step 2: Convert to fraction form
    30,378.66/45,569.37 = 9,317.16/x
  3. Step 3: Cross multiply
    30,378.66x = 45,569.37 × 9,317.16
  4. Step 4: Simplify right side
    30,378.66x = 424,577,111.39
  5. Step 5: Solve for x
    x = 424,577,111.39/30,378.66
  6. Step 6: Final answer
    x = 13,976.16

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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.