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Finding the Fourth Proportional to 10,348.84, 14,298.10 and 7,219

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Solution

The fourth proportional to 10,348.84, 14,298.10 and 7,219 is: 9,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.84 : 14,298.10 = 7,219 : x
  2. Step 2: Convert to fraction form
    10,348.84/14,298.10 = 7,219/x
  3. Step 3: Cross multiply
    10,348.84x = 14,298.10 × 7,219
  4. Step 4: Simplify right side
    10,348.84x = 103,217,983.90
  5. Step 5: Solve for x
    x = 103,217,983.90/10,348.84
  6. Step 6: Final answer
    x = 9,973.87

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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.