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Finding the Fourth Proportional to 10,710.45, 14,784.66 and 7,178.45

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Solution

The fourth proportional to 10,710.45, 14,784.66 and 7,178.45 is: 9,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.45 : 14,784.66 = 7,178.45 : x
  2. Step 2: Convert to fraction form
    10,710.45/14,784.66 = 7,178.45/x
  3. Step 3: Cross multiply
    10,710.45x = 14,784.66 × 7,178.45
  4. Step 4: Simplify right side
    10,710.45x = 106,130,868.65
  5. Step 5: Solve for x
    x = 106,130,868.65/10,710.45
  6. Step 6: Final answer
    x = 9,909.10

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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.