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Finding the Fourth Proportional to 10,152, 14,009.76 and 5,962.68

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Solution

The fourth proportional to 10,152, 14,009.76 and 5,962.68 is: 8,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 14,009.76 = 5,962.68 : x
  2. Step 2: Convert to fraction form
    10,152/14,009.76 = 5,962.68/x
  3. Step 3: Cross multiply
    10,152x = 14,009.76 × 5,962.68
  4. Step 4: Simplify right side
    10,152x = 83,535,715.76
  5. Step 5: Solve for x
    x = 83,535,715.76/10,152
  6. Step 6: Final answer
    x = 8,228.50

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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.