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Finding the Fourth Proportional to 14,535, 21,813.57 and 10,317.87

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Solution

The fourth proportional to 14,535, 21,813.57 and 10,317.87 is: 15,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535 : 21,813.57 = 10,317.87 : x
  2. Step 2: Convert to fraction form
    14,535/21,813.57 = 10,317.87/x
  3. Step 3: Cross multiply
    14,535x = 21,813.57 × 10,317.87
  4. Step 4: Simplify right side
    14,535x = 225,069,579.50
  5. Step 5: Solve for x
    x = 225,069,579.50/14,535
  6. Step 6: Final answer
    x = 15,484.66

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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.