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Finding the Fourth Proportional to 10,506.40, 14,498.40 and 6,724.24

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Solution

The fourth proportional to 10,506.40, 14,498.40 and 6,724.24 is: 9,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.40 : 14,498.40 = 6,724.24 : x
  2. Step 2: Convert to fraction form
    10,506.40/14,498.40 = 6,724.24/x
  3. Step 3: Cross multiply
    10,506.40x = 14,498.40 × 6,724.24
  4. Step 4: Simplify right side
    10,506.40x = 97,490,721.22
  5. Step 5: Solve for x
    x = 97,490,721.22/10,506.40
  6. Step 6: Final answer
    x = 9,279.17

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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.