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Finding the Fourth Proportional to 14,114.61, 19,477.10 and 7,740.18

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Solution

The fourth proportional to 14,114.61, 19,477.10 and 7,740.18 is: 10,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.61 : 19,477.10 = 7,740.18 : x
  2. Step 2: Convert to fraction form
    14,114.61/19,477.10 = 7,740.18/x
  3. Step 3: Cross multiply
    14,114.61x = 19,477.10 × 7,740.18
  4. Step 4: Simplify right side
    14,114.61x = 150,756,279.23
  5. Step 5: Solve for x
    x = 150,756,279.23/14,114.61
  6. Step 6: Final answer
    x = 10,680.87

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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.