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Finding the Fourth Proportional to 10,445, 14,417.34 and 6,719

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Solution

The fourth proportional to 10,445, 14,417.34 and 6,719 is: 9,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445 : 14,417.34 = 6,719 : x
  2. Step 2: Convert to fraction form
    10,445/14,417.34 = 6,719/x
  3. Step 3: Cross multiply
    10,445x = 14,417.34 × 6,719
  4. Step 4: Simplify right side
    10,445x = 96,870,107.46
  5. Step 5: Solve for x
    x = 96,870,107.46/10,445
  6. Step 6: Final answer
    x = 9,274.30

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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.