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Finding the Fourth Proportional to 13,775.58, 19,011 and 7,807.50

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Solution

The fourth proportional to 13,775.58, 19,011 and 7,807.50 is: 10,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.58 : 19,011 = 7,807.50 : x
  2. Step 2: Convert to fraction form
    13,775.58/19,011 = 7,807.50/x
  3. Step 3: Cross multiply
    13,775.58x = 19,011 × 7,807.50
  4. Step 4: Simplify right side
    13,775.58x = 148,428,382.50
  5. Step 5: Solve for x
    x = 148,428,382.50/13,775.58
  6. Step 6: Final answer
    x = 10,774.75

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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.