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Finding the Fourth Proportional to 15,978.18, 22,038.14 and 10,590.86

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Solution

The fourth proportional to 15,978.18, 22,038.14 and 10,590.86 is: 14,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.18 : 22,038.14 = 10,590.86 : x
  2. Step 2: Convert to fraction form
    15,978.18/22,038.14 = 10,590.86/x
  3. Step 3: Cross multiply
    15,978.18x = 22,038.14 × 10,590.86
  4. Step 4: Simplify right side
    15,978.18x = 233,402,855.40
  5. Step 5: Solve for x
    x = 233,402,855.40/15,978.18
  6. Step 6: Final answer
    x = 14,607.60

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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.