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Finding the Fourth Proportional to 10,357.70, 14,298.93 and 7,018.10

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Solution

The fourth proportional to 10,357.70, 14,298.93 and 7,018.10 is: 9,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.70 : 14,298.93 = 7,018.10 : x
  2. Step 2: Convert to fraction form
    10,357.70/14,298.93 = 7,018.10/x
  3. Step 3: Cross multiply
    10,357.70x = 14,298.93 × 7,018.10
  4. Step 4: Simplify right side
    10,357.70x = 100,351,320.63
  5. Step 5: Solve for x
    x = 100,351,320.63/10,357.70
  6. Step 6: Final answer
    x = 9,688.57

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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.