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Finding the Fourth Proportional to 13,139.16, 19,710 and 4,374.72

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Solution

The fourth proportional to 13,139.16, 19,710 and 4,374.72 is: 6,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.16 : 19,710 = 4,374.72 : x
  2. Step 2: Convert to fraction form
    13,139.16/19,710 = 4,374.72/x
  3. Step 3: Cross multiply
    13,139.16x = 19,710 × 4,374.72
  4. Step 4: Simplify right side
    13,139.16x = 86,225,731.20
  5. Step 5: Solve for x
    x = 86,225,731.20/13,139.16
  6. Step 6: Final answer
    x = 6,562.50

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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.