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Finding the Fourth Proportional to 30,378.53, 45,569.16 and 9,317.04

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Solution

The fourth proportional to 30,378.53, 45,569.16 and 9,317.04 is: 13,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.53 : 45,569.16 = 9,317.04 : x
  2. Step 2: Convert to fraction form
    30,378.53/45,569.16 = 9,317.04/x
  3. Step 3: Cross multiply
    30,378.53x = 45,569.16 × 9,317.04
  4. Step 4: Simplify right side
    30,378.53x = 424,569,515.60
  5. Step 5: Solve for x
    x = 424,569,515.60/30,378.53
  6. Step 6: Final answer
    x = 13,975.97

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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.