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Finding the Fourth Proportional to 9,871.80, 14,807.70 and 9,434.40

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Solution

The fourth proportional to 9,871.80, 14,807.70 and 9,434.40 is: 14,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.80 : 14,807.70 = 9,434.40 : x
  2. Step 2: Convert to fraction form
    9,871.80/14,807.70 = 9,434.40/x
  3. Step 3: Cross multiply
    9,871.80x = 14,807.70 × 9,434.40
  4. Step 4: Simplify right side
    9,871.80x = 139,701,764.88
  5. Step 5: Solve for x
    x = 139,701,764.88/9,871.80
  6. Step 6: Final answer
    x = 14,151.60

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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.