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Finding the Fourth Proportional to 8,509.40, 12,764.10 and 8,347.40

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Solution

The fourth proportional to 8,509.40, 12,764.10 and 8,347.40 is: 12,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.40 : 12,764.10 = 8,347.40 : x
  2. Step 2: Convert to fraction form
    8,509.40/12,764.10 = 8,347.40/x
  3. Step 3: Cross multiply
    8,509.40x = 12,764.10 × 8,347.40
  4. Step 4: Simplify right side
    8,509.40x = 106,547,048.34
  5. Step 5: Solve for x
    x = 106,547,048.34/8,509.40
  6. Step 6: Final answer
    x = 12,521.10

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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.