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Finding the Fourth Proportional to 14,154.72, 19,532.20 and 7,865.88

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Solution

The fourth proportional to 14,154.72, 19,532.20 and 7,865.88 is: 10,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.72 : 19,532.20 = 7,865.88 : x
  2. Step 2: Convert to fraction form
    14,154.72/19,532.20 = 7,865.88/x
  3. Step 3: Cross multiply
    14,154.72x = 19,532.20 × 7,865.88
  4. Step 4: Simplify right side
    14,154.72x = 153,637,941.34
  5. Step 5: Solve for x
    x = 153,637,941.34/14,154.72
  6. Step 6: Final answer
    x = 10,854.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.