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Finding the Fourth Proportional to 10,463.80, 14,420.16 and 10,271.68

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Solution

The fourth proportional to 10,463.80, 14,420.16 and 10,271.68 is: 14,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.80 : 14,420.16 = 10,271.68 : x
  2. Step 2: Convert to fraction form
    10,463.80/14,420.16 = 10,271.68/x
  3. Step 3: Cross multiply
    10,463.80x = 14,420.16 × 10,271.68
  4. Step 4: Simplify right side
    10,463.80x = 148,119,269.07
  5. Step 5: Solve for x
    x = 148,119,269.07/10,463.80
  6. Step 6: Final answer
    x = 14,155.40

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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.