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Finding the Fourth Proportional to 14,574.80, 21,878.40 and 11,302.40

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Solution

The fourth proportional to 14,574.80, 21,878.40 and 11,302.40 is: 16,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.80 : 21,878.40 = 11,302.40 : x
  2. Step 2: Convert to fraction form
    14,574.80/21,878.40 = 11,302.40/x
  3. Step 3: Cross multiply
    14,574.80x = 21,878.40 × 11,302.40
  4. Step 4: Simplify right side
    14,574.80x = 247,278,428.16
  5. Step 5: Solve for x
    x = 247,278,428.16/14,574.80
  6. Step 6: Final answer
    x = 16,966.16

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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.