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Finding the Fourth Proportional to 10,298.99, 15,411.58 and 8,917.10

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Solution

The fourth proportional to 10,298.99, 15,411.58 and 8,917.10 is: 13,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.99 : 15,411.58 = 8,917.10 : x
  2. Step 2: Convert to fraction form
    10,298.99/15,411.58 = 8,917.10/x
  3. Step 3: Cross multiply
    10,298.99x = 15,411.58 × 8,917.10
  4. Step 4: Simplify right side
    10,298.99x = 137,426,600.02
  5. Step 5: Solve for x
    x = 137,426,600.02/10,298.99
  6. Step 6: Final answer
    x = 13,343.70

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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.